Finding the Third Proportional to 2.69 and 5.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2.69 : 5.78 = 5.78 : x
2. Step 2: Convert to fraction form
   2.69/5.78 = 5.78/x
3. Step 3: Cross multiply
   2.69x = 5.78 × 5.78
4. Step 4: Simplify right side
   2.69x = 33.42
5. Step 5: Solve for x
   x = 33.42/2.69
6. Step 6: Final answer
   x = 12.44