The compressor won't really work with your euro rack. Like mnicoletti said, you'd have to use another mic preamp first. *Most* mixers have channel inserts in them. If you know what a channel insert is, then skip this part.
A channel insert gives you access to the signal after the mic preamp (the gain knob) but before anything else. You would run a cable from that to the compressor and then back to the mixer to continue down through the eq and onto the fader. Sometimes there's an in and an out for the insert, sometimes you need a y adapter cable. 1 side is tip-ring-sleeve and it splits into two standard tip sleeve plugs.
Anyway the behringer mixer you have doesn't have inserts. The first model with inserts is
the mx2004 ($299). What you would have to do is to buy a seperate mic pre, run you mic through that, into the compressor, and then out of that into
the eurodesk. For most mic preamps you're looking around $80-$100.
The midiman audio buddy is about 80 and it's 2 channels. If you only need one channel the art tube mp is 100, and from what I hear is a great preamp anyway.
All of this is based on assuming you just want to run a single channel through the compressor. If you just want to compress the whole master fader after coming out of the board, that's different and it's self explanatory.
Hope this helps, I tried to generalize.