Finding the Third Proportional to 31,950 and 69,498

Step by Step Solution

1. Step 1: Write the proportion equation
   31,950 : 69,498 = 69,498 : x
2. Step 2: Convert to fraction form
   31,950/69,498 = 69,498/x
3. Step 3: Cross multiply
   31,950x = 69,498 × 69,498
4. Step 4: Simplify right side
   31,950x = 4,829,972,004
5. Step 5: Solve for x
   x = 4,829,972,004/31,950
6. Step 6: Final answer
   x = 151,172.83