Finding the Third Proportional to 39,672 and 82,624.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,672 : 82,624.50 = 82,624.50 : x
2. Step 2: Convert to fraction form
   39,672/82,624.50 = 82,624.50/x
3. Step 3: Cross multiply
   39,672x = 82,624.50 × 82,624.50
4. Step 4: Simplify right side
   39,672x = 6,826,808,000.25
5. Step 5: Solve for x
   x = 6,826,808,000.25/39,672
6. Step 6: Final answer
   x = 172,081.27