Finding the Third Proportional to 4.69 and 7.69

Step by Step Solution

1. Step 1: Write the proportion equation
   4.69 : 7.69 = 7.69 : x
2. Step 2: Convert to fraction form
   4.69/7.69 = 7.69/x
3. Step 3: Cross multiply
   4.69x = 7.69 × 7.69
4. Step 4: Simplify right side
   4.69x = 59.10
5. Step 5: Solve for x
   x = 59.10/4.69
6. Step 6: Final answer
   x = 12.61