Finding the Third Proportional to 40,383.50 and 82,782

Step by Step Solution

1. Step 1: Write the proportion equation
   40,383.50 : 82,782 = 82,782 : x
2. Step 2: Convert to fraction form
   40,383.50/82,782 = 82,782/x
3. Step 3: Cross multiply
   40,383.50x = 82,782 × 82,782
4. Step 4: Simplify right side
   40,383.50x = 6,852,859,524
5. Step 5: Solve for x
   x = 6,852,859,524/40,383.50
6. Step 6: Final answer
   x = 169,694.54