Finding the Third Proportional to 31,921.75 and 64,755.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,921.75 : 64,755.50 = 64,755.50 : x
2. Step 2: Convert to fraction form
   31,921.75/64,755.50 = 64,755.50/x
3. Step 3: Cross multiply
   31,921.75x = 64,755.50 × 64,755.50
4. Step 4: Simplify right side
   31,921.75x = 4,193,274,780.25
5. Step 5: Solve for x
   x = 4,193,274,780.25/31,921.75
6. Step 6: Final answer
   x = 131,361.06