Finding the Third Proportional to 6,606 and 10,149

Step by Step Solution

1. Step 1: Write the proportion equation
   6,606 : 10,149 = 10,149 : x
2. Step 2: Convert to fraction form
   6,606/10,149 = 10,149/x
3. Step 3: Cross multiply
   6,606x = 10,149 × 10,149
4. Step 4: Simplify right side
   6,606x = 103,002,201
5. Step 5: Solve for x
   x = 103,002,201/6,606
6. Step 6: Final answer
   x = 15,592.22