Extend network will AEBS connect wirelessly and allow ethernet ports to work?

Here is the deal. We have a Wireless router by the Internet provider. I extended the network using my AEBS prior generation (right before dual band). It's the square one that does N but doesn't have dual band.

Now, I am successfully extending the network, and I can connect to both my hard drive and printer that use the USB port (via a usb hub attached).

What I want to be able to do is plug into the Ethernet ports on this AEBS, and I want that to use wireless to the other wireless router to give me network access. Here is the deal, I have a computer that doesn't have wireless network on it, so it's only Ethernet. I have the AEBS at my desk, and I want to connect the hardwired computer into the AEBS. I want the AEBS to then wirelessly connect that computer that is hard-wired to the network...

Is this possible? I have used cheap $20 Netgear devices that did precisely this, so I was confused when my AEBS didn't automatically provide such connectivity.

Thanks in advance for any assistance you can give me.

Nobody has a clue here? Please help if you know the answer?

Thanks in advance for your assistance.