Finding the Third Proportional to 6,697.69 and 10,149.05

Step by Step Solution

1. Step 1: Write the proportion equation
   6,697.69 : 10,149.05 = 10,149.05 : x
2. Step 2: Convert to fraction form
   6,697.69/10,149.05 = 10,149.05/x
3. Step 3: Cross multiply
   6,697.69x = 10,149.05 × 10,149.05
4. Step 4: Simplify right side
   6,697.69x = 103,003,152.47
5. Step 5: Solve for x
   x = 103,003,152.47/6,697.69
6. Step 6: Final answer
   x = 15,378.91