Finding the Third Proportional to 11.50 and 24.16

Step by Step Solution

1. Step 1: Write the proportion equation
   11.50 : 24.16 = 24.16 : x
2. Step 2: Convert to fraction form
   11.50/24.16 = 24.16/x
3. Step 3: Cross multiply
   11.50x = 24.16 × 24.16
4. Step 4: Simplify right side
   11.50x = 583.89
5. Step 5: Solve for x
   x = 583.89/11.50
6. Step 6: Final answer
   x = 50.79