Finding the Third Proportional to 39,025.50 and 83,974.13

Step by Step Solution

1. Step 1: Write the proportion equation
   39,025.50 : 83,974.13 = 83,974.13 : x
2. Step 2: Convert to fraction form
   39,025.50/83,974.13 = 83,974.13/x
3. Step 3: Cross multiply
   39,025.50x = 83,974.13 × 83,974.13
4. Step 4: Simplify right side
   39,025.50x = 7,051,653,669.52
5. Step 5: Solve for x
   x = 7,051,653,669.52/39,025.50
6. Step 6: Final answer
   x = 180,693.49