Finding the Third Proportional to 11.50 and 24.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11.50 : 24.50 = 24.50 : x
2. Step 2: Convert to fraction form
   11.50/24.50 = 24.50/x
3. Step 3: Cross multiply
   11.50x = 24.50 × 24.50
4. Step 4: Simplify right side
   11.50x = 600.25
5. Step 5: Solve for x
   x = 600.25/11.50
6. Step 6: Final answer
   x = 52.20