To prove that the product of the two rational numbers 43 and 92 is a rational number, we first calculate the product:
\[ 43 \times 92 = 3956. \]
A rational number is defined as any number that can be expressed as the quotient of two integers (where the denominator is not zero); since both 43 and 92 can be expressed as \(\frac{43}{1}\) and \(\frac{92}{1}\) respectively, their product \(3956\) can be expressed as \(\frac{3956}{1}\), proving it is a rational number. Thus, I know it is a rational number because it can be expressed as the ratio of two integers.