Finding the Third Proportional to 39,614 and 81,995.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,614 : 81,995.50 = 81,995.50 : x
2. Step 2: Convert to fraction form
   39,614/81,995.50 = 81,995.50/x
3. Step 3: Cross multiply
   39,614x = 81,995.50 × 81,995.50
4. Step 4: Simplify right side
   39,614x = 6,723,262,020.25
5. Step 5: Solve for x
   x = 6,723,262,020.25/39,614
6. Step 6: Final answer
   x = 169,719.34