Finding the Third Proportional to 3.50 and 7.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3.50 : 7.69 = 7.69 : x
2. Step 2: Convert to fraction form
   3.50/7.69 = 7.69/x
3. Step 3: Cross multiply
   3.50x = 7.69 × 7.69
4. Step 4: Simplify right side
   3.50x = 59.10
5. Step 5: Solve for x
   x = 59.10/3.50
6. Step 6: Final answer
   x = 16.89