Finding the Third Proportional to 5.69 and 11.72

Step by Step Solution

1. Step 1: Write the proportion equation
   5.69 : 11.72 = 11.72 : x
2. Step 2: Convert to fraction form
   5.69/11.72 = 11.72/x
3. Step 3: Cross multiply
   5.69x = 11.72 × 11.72
4. Step 4: Simplify right side
   5.69x = 137.33
5. Step 5: Solve for x
   x = 137.33/5.69
6. Step 6: Final answer
   x = 24.15