Finding the Third Proportional to 39,624 and 82,510.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,624 : 82,510.50 = 82,510.50 : x
2. Step 2: Convert to fraction form
   39,624/82,510.50 = 82,510.50/x
3. Step 3: Cross multiply
   39,624x = 82,510.50 × 82,510.50
4. Step 4: Simplify right side
   39,624x = 6,807,982,610.25
5. Step 5: Solve for x
   x = 6,807,982,610.25/39,624
6. Step 6: Final answer
   x = 171,814.62