Finding the Third Proportional to 6,614 and 7,150

Step by Step Solution

1. Step 1: Write the proportion equation
   6,614 : 7,150 = 7,150 : x
2. Step 2: Convert to fraction form
   6,614/7,150 = 7,150/x
3. Step 3: Cross multiply
   6,614x = 7,150 × 7,150
4. Step 4: Simplify right side
   6,614x = 51,122,500
5. Step 5: Solve for x
   x = 51,122,500/6,614
6. Step 6: Final answer
   x = 7,729.44