Finding the Third Proportional to 39,417 and 57,658.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,417 : 57,658.50 = 57,658.50 : x
2. Step 2: Convert to fraction form
   39,417/57,658.50 = 57,658.50/x
3. Step 3: Cross multiply
   39,417x = 57,658.50 × 57,658.50
4. Step 4: Simplify right side
   39,417x = 3,324,502,622.25
5. Step 5: Solve for x
   x = 3,324,502,622.25/39,417
6. Step 6: Final answer
   x = 84,341.85