Finding the Third Proportional to 31,902 and 65,098.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,902 : 65,098.50 = 65,098.50 : x
2. Step 2: Convert to fraction form
   31,902/65,098.50 = 65,098.50/x
3. Step 3: Cross multiply
   31,902x = 65,098.50 × 65,098.50
4. Step 4: Simplify right side
   31,902x = 4,237,814,702.25
5. Step 5: Solve for x
   x = 4,237,814,702.25/31,902
6. Step 6: Final answer
   x = 132,838.53