Finding the Third Proportional to 39,714 and 82,662

Step by Step Solution

1. Step 1: Write the proportion equation
   39,714 : 82,662 = 82,662 : x
2. Step 2: Convert to fraction form
   39,714/82,662 = 82,662/x
3. Step 3: Cross multiply
   39,714x = 82,662 × 82,662
4. Step 4: Simplify right side
   39,714x = 6,833,006,244
5. Step 5: Solve for x
   x = 6,833,006,244/39,714
6. Step 6: Final answer
   x = 172,055.35