Finding the Third Proportional to 24.56 and 38.25

Step by Step Solution

1. Step 1: Write the proportion equation
   24.56 : 38.25 = 38.25 : x
2. Step 2: Convert to fraction form
   24.56/38.25 = 38.25/x
3. Step 3: Cross multiply
   24.56x = 38.25 × 38.25
4. Step 4: Simplify right side
   24.56x = 1,463.06
5. Step 5: Solve for x
   x = 1,463.06/24.56
6. Step 6: Final answer
   x = 59.56