You need to upgrade the computer’s OS or switch to a product such as Firefox.
If you choose to upgrade, open the Mac App Store and try downloading El Capitan. If you get told that it's incompatible with your computer or otherwise desired, choose About this Mac from the Apple menu, check if the computer has at least a Xeon or Core 2 Duo(not Core Duo) CPU and 2GB of RAM, and if it does, click here and order a download code for Lion 10.7; the online Apple Store also sells download codes for Mountain Lion 10.8, but it has the same system requirements as El Capitan. Note that if you upgrade to an OS older than 10.9, you’ll likely still need to switch browsers.
Back up your data and check your applications for compatibility before upgrading. In particular, Mac OS X 10.7 and newer don't support PowerPC programs such as versions of Microsoft Office prior to 2008.
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