Finding the Third Proportional to 39,613 and 81,993.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,613 : 81,993.50 = 81,993.50 : x
2. Step 2: Convert to fraction form
   39,613/81,993.50 = 81,993.50/x
3. Step 3: Cross multiply
   39,613x = 81,993.50 × 81,993.50
4. Step 4: Simplify right side
   39,613x = 6,722,934,042.25
5. Step 5: Solve for x
   x = 6,722,934,042.25/39,613
6. Step 6: Final answer
   x = 169,715.35