Third Peak is the third High Horn counting from the South, after the Wedge and Lost Peak. It appears to be second for a time when approaching from the east. The summit is by far the most aesthetic of any of the Organ Peaks being a narrow blade of rock going east to west. After climbing up either of the routes, to get to the summit, you will need to move along this razor edge. It's solid enough to be just plain fun with a much larger and steeper drop to the north.

Approach from the east as for the Wedge, but stay in the gully with the maples all the way up. Go through a narrow crawl hole and then take the right gully up into the saddle between Lost Peak and Third Peak.