Finding the Third Proportional to 39,661.88 and 83,414.25

Step by Step Solution

1. Step 1: Write the proportion equation
   39,661.88 : 83,414.25 = 83,414.25 : x
2. Step 2: Convert to fraction form
   39,661.88/83,414.25 = 83,414.25/x
3. Step 3: Cross multiply
   39,661.88x = 83,414.25 × 83,414.25
4. Step 4: Simplify right side
   39,661.88x = 6,957,937,103.06
5. Step 5: Solve for x
   x = 6,957,937,103.06/39,661.88
6. Step 6: Final answer
   x = 175,431.37