Finding the Third Proportional to 6.88 and 10.69

Step by Step Solution

1. Step 1: Write the proportion equation
   6.88 : 10.69 = 10.69 : x
2. Step 2: Convert to fraction form
   6.88/10.69 = 10.69/x
3. Step 3: Cross multiply
   6.88x = 10.69 × 10.69
4. Step 4: Simplify right side
   6.88x = 114.22
5. Step 5: Solve for x
   x = 114.22/6.88
6. Step 6: Final answer
   x = 16.61