Finding the Third Proportional to 31,872 and 67,539

Step by Step Solution

1. Step 1: Write the proportion equation
   31,872 : 67,539 = 67,539 : x
2. Step 2: Convert to fraction form
   31,872/67,539 = 67,539/x
3. Step 3: Cross multiply
   31,872x = 67,539 × 67,539
4. Step 4: Simplify right side
   31,872x = 4,561,516,521
5. Step 5: Solve for x
   x = 4,561,516,521/31,872
6. Step 6: Final answer
   x = 143,119.87