Finding the Third Proportional to 6,940.69 and 10,399.64

Step by Step Solution

1. Step 1: Write the proportion equation
   6,940.69 : 10,399.64 = 10,399.64 : x
2. Step 2: Convert to fraction form
   6,940.69/10,399.64 = 10,399.64/x
3. Step 3: Cross multiply
   6,940.69x = 10,399.64 × 10,399.64
4. Step 4: Simplify right side
   6,940.69x = 108,152,525.13
5. Step 5: Solve for x
   x = 108,152,525.13/6,940.69
6. Step 6: Final answer
   x = 15,582.39