Finding the Third Proportional to 40,514 and 82,684

Step by Step Solution

1. Step 1: Write the proportion equation
   40,514 : 82,684 = 82,684 : x
2. Step 2: Convert to fraction form
   40,514/82,684 = 82,684/x
3. Step 3: Cross multiply
   40,514x = 82,684 × 82,684
4. Step 4: Simplify right side
   40,514x = 6,836,643,856
5. Step 5: Solve for x
   x = 6,836,643,856/40,514
6. Step 6: Final answer
   x = 168,747.69