Finding the Third Proportional to 6,938 and 10,681

Step by Step Solution

1. Step 1: Write the proportion equation
   6,938 : 10,681 = 10,681 : x
2. Step 2: Convert to fraction form
   6,938/10,681 = 10,681/x
3. Step 3: Cross multiply
   6,938x = 10,681 × 10,681
4. Step 4: Simplify right side
   6,938x = 114,083,761
5. Step 5: Solve for x
   x = 114,083,761/6,938
6. Step 6: Final answer
   x = 16,443.32