Finding the Third Proportional to 31,957.50 and 68,820.75

Step by Step Solution

1. Step 1: Write the proportion equation
   31,957.50 : 68,820.75 = 68,820.75 : x
2. Step 2: Convert to fraction form
   31,957.50/68,820.75 = 68,820.75/x
3. Step 3: Cross multiply
   31,957.50x = 68,820.75 × 68,820.75
4. Step 4: Simplify right side
   31,957.50x = 4,736,295,630.56
5. Step 5: Solve for x
   x = 4,736,295,630.56/31,957.50
6. Step 6: Final answer
   x = 148,206.07