Finding the Third Proportional to 31,712.50 and 69,702.25

Step by Step Solution

1. Step 1: Write the proportion equation
   31,712.50 : 69,702.25 = 69,702.25 : x
2. Step 2: Convert to fraction form
   31,712.50/69,702.25 = 69,702.25/x
3. Step 3: Cross multiply
   31,712.50x = 69,702.25 × 69,702.25
4. Step 4: Simplify right side
   31,712.50x = 4,858,403,655.06
5. Step 5: Solve for x
   x = 4,858,403,655.06/31,712.50
6. Step 6: Final answer
   x = 153,201.53