Finding the Third Proportional to 31,920.75 and 64,753.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,920.75 : 64,753.50 = 64,753.50 : x
2. Step 2: Convert to fraction form
   31,920.75/64,753.50 = 64,753.50/x
3. Step 3: Cross multiply
   31,920.75x = 64,753.50 × 64,753.50
4. Step 4: Simplify right side
   31,920.75x = 4,193,015,762.25
5. Step 5: Solve for x
   x = 4,193,015,762.25/31,920.75
6. Step 6: Final answer
   x = 131,357.06