Finding the Third Proportional to 42,431 and 83,791

Step by Step Solution

1. Step 1: Write the proportion equation
   42,431 : 83,791 = 83,791 : x
2. Step 2: Convert to fraction form
   42,431/83,791 = 83,791/x
3. Step 3: Cross multiply
   42,431x = 83,791 × 83,791
4. Step 4: Simplify right side
   42,431x = 7,020,931,681
5. Step 5: Solve for x
   x = 7,020,931,681/42,431
6. Step 6: Final answer
   x = 165,467.03