Hello, I'm trying to figure out how to access from my development machine (Devel) to a third party web service (www.domain.com) which I am not allowed to directly contact using my office IP address.

Here's a basic diagram (i'm not allowed to post images...): http://yuml.me/diagram/scruffy/class/%5BDevel%5D-%5BA%5D,%20%5BA%5D-%5BB%5D,%20%5BB%5D-%5Bwww.domain.com%5D

The only machine allowed to access that service is B (production server) but I do neither can directly access it from my development machine (Devel).

So in order to access the web service I have to ssh into A, and then from A to B to access www.domain.com

Is there any way of tunneling traffic from B to A and then back to my development machine so I can directly access www.domain.com without having to ssh into every box?

Devel: My development machine.
A, B: Linux servers. I own root access on both.
B: Production server
www.domain.com: Third party HTTP API production server uses.