Finding the Third Proportional to 6,714 and 9,150

Step by Step Solution

1. Step 1: Write the proportion equation
   6,714 : 9,150 = 9,150 : x
2. Step 2: Convert to fraction form
   6,714/9,150 = 9,150/x
3. Step 3: Cross multiply
   6,714x = 9,150 × 9,150
4. Step 4: Simplify right side
   6,714x = 83,722,500
5. Step 5: Solve for x
   x = 83,722,500/6,714
6. Step 6: Final answer
   x = 12,469.84