Finding the Third Proportional to 11.49 and 24.10

Step by Step Solution

1. Step 1: Write the proportion equation
   11.49 : 24.10 = 24.10 : x
2. Step 2: Convert to fraction form
   11.49/24.10 = 24.10/x
3. Step 3: Cross multiply
   11.49x = 24.10 × 24.10
4. Step 4: Simplify right side
   11.49x = 580.67
5. Step 5: Solve for x
   x = 580.67/11.49
6. Step 6: Final answer
   x = 50.53