Finding the Third Proportional to 39,024 and 82,909.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,024 : 82,909.50 = 82,909.50 : x
2. Step 2: Convert to fraction form
   39,024/82,909.50 = 82,909.50/x
3. Step 3: Cross multiply
   39,024x = 82,909.50 × 82,909.50
4. Step 4: Simplify right side
   39,024x = 6,873,985,190.25
5. Step 5: Solve for x
   x = 6,873,985,190.25/39,024
6. Step 6: Final answer
   x = 176,147.63