Finding the Third Proportional to 31,909.50 and 68,557.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,909.50 : 68,557.50 = 68,557.50 : x
2. Step 2: Convert to fraction form
   31,909.50/68,557.50 = 68,557.50/x
3. Step 3: Cross multiply
   31,909.50x = 68,557.50 × 68,557.50
4. Step 4: Simplify right side
   31,909.50x = 4,700,130,806.25
5. Step 5: Solve for x
   x = 4,700,130,806.25/31,909.50
6. Step 6: Final answer
   x = 147,295.66