Finding the Third Proportional to 6,697.69 and 10,405.13

Step by Step Solution

1. Step 1: Write the proportion equation
   6,697.69 : 10,405.13 = 10,405.13 : x
2. Step 2: Convert to fraction form
   6,697.69/10,405.13 = 10,405.13/x
3. Step 3: Cross multiply
   6,697.69x = 10,405.13 × 10,405.13
4. Step 4: Simplify right side
   6,697.69x = 108,266,626.27
5. Step 5: Solve for x
   x = 108,266,626.27/6,697.69
6. Step 6: Final answer
   x = 16,164.78