The answer is right at the top of the previous post.
I'll try to use Airport as an extension to the network that TWC router creates.
To do that, the Express will need to be connected back to the TWC modem/router at all times using an Ethernet cable.
So, if you need a stronger signal for the iMac, ideally the AirPort Express would be located in the same room or close proximity to the iMac. Then an Ethernet cable, which must remain permanently connected at all times must connect from one of the LAN <--> Ethernet ports on the TWC gateway to the Ethernet port on the AirPort Express.
The AirPort Express must be reset back to factory default settings....see note 1 below.... and then set up again to create a wireless network...se note 2 below..... that uses the same wireless network name and same wireless network password that the TWC gateway is using. This will result in one "big" network. The idea with this type of setup is that wireless devices can move from the area near the TWC gateway or the AirPort Express to the other area and stay on the same network.
Alternately, you could assign a different name to the wireless network that the AirPort Express is producing. If you do this, then the iMac and other devices located near the AirPort Express will need to select the name of the network that the Express is producing and then enter the password to connect.
Note 1.....with the AirPort Express powered on, hold in the reset button on the Express for 7-8 seconds and release. Then allow a full minute for the Express to restart to a slow, blinking amber light status. The Express has now been reset back to factory default settings.
Note 2....use Apple's setup wizard to configure the AirPort Express. Make the Ethernet cable connection from the TWC gateway to the AirPort Express first, then click the WiFi icon at the top of the iMac's screen and click on AirPort Express under the heading of New AirPort Base Station
That will get the setup wizard up and running. It will take a minute to analyze the network, then display a window that looks like this:
Network Name.....if you want the Express to produce a wireless signal with the same name as the TWC gateway, then enter the exact name of the network that the TWC gateway is producing. If you want the Express to produce a network with a different name, then enter that name....something like Wireless, for example
Base Station Name.....enter a name that you want to call the AirPort Express device. Mine is Express, for example
Password.......if you entered the same name of the wireless network that the TWC gateway is using, then enter the password that you use to connect to the TWC wireless network. If you entered a different Network Name for the Express, then enter a password that you want to use to connect to the wireless network that the Express will be producing
Verify.......confirm the password that you entered
Click Next and the wizard will setup everything for you. When you see the message of Setup Complete, click Done and you are done.