Double NAT indicates that you have two routers that are both providing DHCP and NAT services for the network. That is almost always a network no no.
One of them.....the device that you likely call your "modem" is actually a modem/router, or as they are also called a gateway device. A device like this combines a separate modem and a separate router in one single package.
This is the device that will need to be setup to handle the Port Forwarding......since it is your main router.
The correct setting for the AirPort Extreme is "Off (Bridge Mode)" since you already have a router...(the device that you think of as your modem) handling DHCP and NAT services for the network. When the AirPort is in Bridge Mode, it will simply pass through the Port Forwarding settings that it receives from your main router.
This gets complicated, but if you really do want the AirPort Extreme to act as the main router for your network......then you will need to investigate to find out whether it would be possible to configure your modem/router or gateway device to act as a simple Bridge Mode modem. Sometimes this is possible, sometimes not. Even if it is possible, your Internet Service Provider (ISP) may not support this type of setup, so you will need to do some research if you want to look at that option.
All things considered, it will be tons easier for you to run your modem/router "as is" and set up Port Forwarding on that device. Then, run the AirPort Extreme in Bridge Mode.