Finding the Third Proportional to 6,714 and 12,582

Step by Step Solution

1. Step 1: Write the proportion equation
   6,714 : 12,582 = 12,582 : x
2. Step 2: Convert to fraction form
   6,714/12,582 = 12,582/x
3. Step 3: Cross multiply
   6,714x = 12,582 × 12,582
4. Step 4: Simplify right side
   6,714x = 158,306,724
5. Step 5: Solve for x
   x = 158,306,724/6,714
6. Step 6: Final answer
   x = 23,578.60