Finding the Third Proportional to 6,996.69 and 10,678.71

Step by Step Solution

1. Step 1: Write the proportion equation
   6,996.69 : 10,678.71 = 10,678.71 : x
2. Step 2: Convert to fraction form
   6,996.69/10,678.71 = 10,678.71/x
3. Step 3: Cross multiply
   6,996.69x = 10,678.71 × 10,678.71
4. Step 4: Simplify right side
   6,996.69x = 114,034,867.29
5. Step 5: Solve for x
   x = 114,034,867.29/6,996.69
6. Step 6: Final answer
   x = 16,298.40