Finding the Third Proportional to 31,651 and 67,538

Step by Step Solution

1. Step 1: Write the proportion equation
   31,651 : 67,538 = 67,538 : x
2. Step 2: Convert to fraction form
   31,651/67,538 = 67,538/x
3. Step 3: Cross multiply
   31,651x = 67,538 × 67,538
4. Step 4: Simplify right side
   31,651x = 4,561,381,444
5. Step 5: Solve for x
   x = 4,561,381,444/31,651
6. Step 6: Final answer
   x = 144,114.92