After obtaining secret #2, as shown in the previous section, you return to the doorway overlooking the lava river. Now we'll make our way farther downstream. Take a running jump to the nearest tall, square pillar sticking up from the lava.
Turn right and take a running jump to the pillar ahead and to the right (not the sloping pillar to the left).
From there, take another running jump to the next pillar...
...and a third running jump to the last pillar on the left.
Hop down and go through the doorway.
Slide down the slope and land on a small ledge above a lava pit.
Walk to the edge and take a standing jump to grab the opposite edge. Pull up and continue to the next room.
Here you'll find a number of boxes marked "TNT."
The darker box in the far right corner moves. Pull it away from the others. Then maneuver it through the doorway...
...into the next room.
Position it near the opening high on the left (north) wall.
Then use it to climb up into that opening. (There's a save crystal here in NG+.)
Make your way up the slope, avoiding the steeper surfaces, and pull up onto the ledge at the top on the right side.
Carefully approach the lava pit with the four sloping sides. Don't try and jump all the way across. The opposite slope is slippery and too steep to stand on. Instead take a running jump to either angled side ledge.
Wait there for a boulder to roll down the slope into the pit.
Then take another running jump to land on the far side of the pit.
Continue to the top of the passage, where the boulder came from, and turn left.
You'll emerge on a ledge above the lava river, opposite where you killed the cowboy earlier.
Turn right and follow the ledge up and around to the top. Pick up the magnum clips (19) on the ground and throw the switch to detonate the explosives you saw earlier.
Return along the ledge and through the passageway...
...to the lava pit with sloping sides. Cross it the same way you did before: by taking a running jump to one of the side ledges then another running jump to the far side.
Continue down the slope, turn left...
...and drop down into the TNT CAVE, which is now a jumble of rubble and smashed boxes. Climb up and over the pile of rubble into the next area.
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