Finding the Third Proportional to 31,737.38 and 75,191.63

Step by Step Solution

1. Step 1: Write the proportion equation
   31,737.38 : 75,191.63 = 75,191.63 : x
2. Step 2: Convert to fraction form
   31,737.38/75,191.63 = 75,191.63/x
3. Step 3: Cross multiply
   31,737.38x = 75,191.63 × 75,191.63
4. Step 4: Simplify right side
   31,737.38x = 5,653,780,470.14
5. Step 5: Solve for x
   x = 5,653,780,470.14/31,737.38
6. Step 6: Final answer
   x = 178,142.66