Finding the Third Proportional to 15,714 and 32,522

Step by Step Solution

1. Step 1: Write the proportion equation
   15,714 : 32,522 = 32,522 : x
2. Step 2: Convert to fraction form
   15,714/32,522 = 32,522/x
3. Step 3: Cross multiply
   15,714x = 32,522 × 32,522
4. Step 4: Simplify right side
   15,714x = 1,057,680,484
5. Step 5: Solve for x
   x = 1,057,680,484/15,714
6. Step 6: Final answer
   x = 67,308.16