Finding the Third Proportional to 31,229.50 and 65,722.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,229.50 : 65,722.50 = 65,722.50 : x
2. Step 2: Convert to fraction form
   31,229.50/65,722.50 = 65,722.50/x
3. Step 3: Cross multiply
   31,229.50x = 65,722.50 × 65,722.50
4. Step 4: Simplify right side
   31,229.50x = 4,319,447,006.25
5. Step 5: Solve for x
   x = 4,319,447,006.25/31,229.50
6. Step 6: Final answer
   x = 138,313.04