Finding the Third Proportional to 6,522 and 12,714

Step by Step Solution

1. Step 1: Write the proportion equation
   6,522 : 12,714 = 12,714 : x
2. Step 2: Convert to fraction form
   6,522/12,714 = 12,714/x
3. Step 3: Cross multiply
   6,522x = 12,714 × 12,714
4. Step 4: Simplify right side
   6,522x = 161,645,796
5. Step 5: Solve for x
   x = 161,645,796/6,522
6. Step 6: Final answer
   x = 24,784.70