Finding the Third Proportional to 6,614 and 14,150

Step by Step Solution

1. Step 1: Write the proportion equation
   6,614 : 14,150 = 14,150 : x
2. Step 2: Convert to fraction form
   6,614/14,150 = 14,150/x
3. Step 3: Cross multiply
   6,614x = 14,150 × 14,150
4. Step 4: Simplify right side
   6,614x = 200,222,500
5. Step 5: Solve for x
   x = 200,222,500/6,614
6. Step 6: Final answer
   x = 30,272.53