Finding the Third Proportional to 11.25 and 24.56

Step by Step Solution

1. Step 1: Write the proportion equation
   11.25 : 24.56 = 24.56 : x
2. Step 2: Convert to fraction form
   11.25/24.56 = 24.56/x
3. Step 3: Cross multiply
   11.25x = 24.56 × 24.56
4. Step 4: Simplify right side
   11.25x = 603.32
5. Step 5: Solve for x
   x = 603.32/11.25
6. Step 6: Final answer
   x = 53.63