Finding the Third Proportional to 6,987.69 and 10,386.38

Step by Step Solution

1. Step 1: Write the proportion equation
   6,987.69 : 10,386.38 = 10,386.38 : x
2. Step 2: Convert to fraction form
   6,987.69/10,386.38 = 10,386.38/x
3. Step 3: Cross multiply
   6,987.69x = 10,386.38 × 10,386.38
4. Step 4: Simplify right side
   6,987.69x = 107,876,785.64
5. Step 5: Solve for x
   x = 107,876,785.64/6,987.69
6. Step 6: Final answer
   x = 15,438.12