Finding the Third Proportional to 11.52 and 24.55

Step by Step Solution

1. Step 1: Write the proportion equation
   11.52 : 24.55 = 24.55 : x
2. Step 2: Convert to fraction form
   11.52/24.55 = 24.55/x
3. Step 3: Cross multiply
   11.52x = 24.55 × 24.55
4. Step 4: Simplify right side
   11.52x = 602.76
5. Step 5: Solve for x
   x = 602.76/11.52
6. Step 6: Final answer
   x = 52.30