Finding the Third Proportional to 39,597 and 82,471.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,597 : 82,471.50 = 82,471.50 : x
2. Step 2: Convert to fraction form
   39,597/82,471.50 = 82,471.50/x
3. Step 3: Cross multiply
   39,597x = 82,471.50 × 82,471.50
4. Step 4: Simplify right side
   39,597x = 6,801,548,312.25
5. Step 5: Solve for x
   x = 6,801,548,312.25/39,597
6. Step 6: Final answer
   x = 171,769.28