We can see that from the passage, Perry actually believes that he and David are at the earth's core because of the prospector which they saw at their backs.
This question is related to At The Earth's Core.
What is At The Earth's Core?
"At the Earth's Core" is actually known as a fantasy novel written by Edgar Rice Burroughs, an American writer. It talks about the fictional "hollow earth" land of Pellucidar. It was written in 1914.
We can see that Perry and David believed that they were at the earth's core when they saw the prospector at their backs. An excerpt that supports that "He smiled, and turning, pointing to the nose of the prospector protruding from the ground at our backs."
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