Finding the Third Proportional to 29,631 and 65,098.50

Step by Step Solution

1. Step 1: Write the proportion equation
   29,631 : 65,098.50 = 65,098.50 : x
2. Step 2: Convert to fraction form
   29,631/65,098.50 = 65,098.50/x
3. Step 3: Cross multiply
   29,631x = 65,098.50 × 65,098.50
4. Step 4: Simplify right side
   29,631x = 4,237,814,702.25
5. Step 5: Solve for x
   x = 4,237,814,702.25/29,631
6. Step 6: Final answer
   x = 143,019.63