Finding the Third Proportional to 29,820.38 and 65,101.50

Step by Step Solution

1. Step 1: Write the proportion equation
   29,820.38 : 65,101.50 = 65,101.50 : x
2. Step 2: Convert to fraction form
   29,820.38/65,101.50 = 65,101.50/x
3. Step 3: Cross multiply
   29,820.38x = 65,101.50 × 65,101.50
4. Step 4: Simplify right side
   29,820.38x = 4,238,205,302.25
5. Step 5: Solve for x
   x = 4,238,205,302.25/29,820.38
6. Step 6: Final answer
   x = 142,124.48