Finding the Third Proportional to 31,311 and 65,209.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,311 : 65,209.50 = 65,209.50 : x
2. Step 2: Convert to fraction form
   31,311/65,209.50 = 65,209.50/x
3. Step 3: Cross multiply
   31,311x = 65,209.50 × 65,209.50
4. Step 4: Simplify right side
   31,311x = 4,252,278,890.25
5. Step 5: Solve for x
   x = 4,252,278,890.25/31,311
6. Step 6: Final answer
   x = 135,807.83