This radio is in a small hole above the emancipation grid. Make a manual save, or be very careful when grabbing it; if the radio touches the grid, it will be permanently destroyed!
How do I grab it?
The safest / most reliable strategy I found was as follows:
Move a cube over to the slightly protruding panel on the right side of the grid
Jump and crouch to get onto the panel, then pick up the cube
Jump while moving your view to the right; the cube should push the radio down, and if you're lucky, both objects will avoid the grid!
Where do I take it?
The light will turn green when you approach the door in the same area as the button.
Guide help
This is the low-spoiler guide for "Transmission Received (Radio 10/26)" puzzle in Portal. Unlike in normal walkthrough, you get gradual hints on how to solve the puzzle. Click the big button below to see your first hint. If the hint contains a spoiler, you will be warned about it before clicking.
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