Finding the Third Proportional to 31,416.75 and 65,020.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,416.75 : 65,020.50 = 65,020.50 : x
2. Step 2: Convert to fraction form
   31,416.75/65,020.50 = 65,020.50/x
3. Step 3: Cross multiply
   31,416.75x = 65,020.50 × 65,020.50
4. Step 4: Simplify right side
   31,416.75x = 4,227,665,420.25
5. Step 5: Solve for x
   x = 4,227,665,420.25/31,416.75
6. Step 6: Final answer
   x = 134,567.24