In a mathematical challenge, one must solve an equation with three unknowns.

The equation is 3.14 = a + 1/(b + 1/c), where a, b, and c are positive integers.

Through logical thinking, one can determine that a must be 3.

Subsequently, one must find the sum b + 1/c, which must be greater than 7 and less than 8.

By trial and error, one can find that b = 7 and c = 7 is the only solution.