Finding the Third Proportional to 39,719 and 82,704.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,719 : 82,704.50 = 82,704.50 : x
2. Step 2: Convert to fraction form
   39,719/82,704.50 = 82,704.50/x
3. Step 3: Cross multiply
   39,719x = 82,704.50 × 82,704.50
4. Step 4: Simplify right side
   39,719x = 6,840,034,320.25
5. Step 5: Solve for x
   x = 6,840,034,320.25/39,719
6. Step 6: Final answer
   x = 172,210.64