How to Find the IP Addresses of Computers Connected to an AirPort Extreme Router

I recently ditched my Netgear wireless router and purchased Apple’s AirPort Extreme. I’ve been pretty happy with its range and I’m no longer having my internet connection dropped every hour which is a plus, but I had a devil of a time figuring out how to determine what the IP addresses of other computers on my home network were. For once, the Google wasn’t much help, so I thought I’d post a very short Jingcast showing the solution.