Finding the Third Proportional to 24.76 and 37.42

Step by Step Solution

1. Step 1: Write the proportion equation
   24.76 : 37.42 = 37.42 : x
2. Step 2: Convert to fraction form
   24.76/37.42 = 37.42/x
3. Step 3: Cross multiply
   24.76x = 37.42 × 37.42
4. Step 4: Simplify right side
   24.76x = 1,399.89
5. Step 5: Solve for x
   x = 1,399.89/24.76
6. Step 6: Final answer
   x = 56.54