What is your question? Is it how do I connect a PS3 to an AirPort Extreme Base Station (AEBS) in order for it to access the Internet? If so, is your goal to have a wired or wireless connection between the PS3 console and the AEBS?
Can your PS3 "see" any other wireless network, just not the one provided by your AEBS? If so, what is the current Radio Mode & Wireless Security type settings of your AEBS? Is your PS3 the latest generation model or an earlier one?