Finding the Third Proportional to 6.94 and 7.69

Step by Step Solution

1. Step 1: Write the proportion equation
   6.94 : 7.69 = 7.69 : x
2. Step 2: Convert to fraction form
   6.94/7.69 = 7.69/x
3. Step 3: Cross multiply
   6.94x = 7.69 × 7.69
4. Step 4: Simplify right side
   6.94x = 59.10
5. Step 5: Solve for x
   x = 59.10/6.94
6. Step 6: Final answer
   x = 8.52