Finding the Third Proportional to 39,591 and 82,459.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,591 : 82,459.50 = 82,459.50 : x
2. Step 2: Convert to fraction form
   39,591/82,459.50 = 82,459.50/x
3. Step 3: Cross multiply
   39,591x = 82,459.50 × 82,459.50
4. Step 4: Simplify right side
   39,591x = 6,799,569,140.25
5. Step 5: Solve for x
   x = 6,799,569,140.25/39,591
6. Step 6: Final answer
   x = 171,745.32