Finding the Third Proportional to 24.09 and 37.31

Step by Step Solution

1. Step 1: Write the proportion equation
   24.09 : 37.31 = 37.31 : x
2. Step 2: Convert to fraction form
   24.09/37.31 = 37.31/x
3. Step 3: Cross multiply
   24.09x = 37.31 × 37.31
4. Step 4: Simplify right side
   24.09x = 1,392.22
5. Step 5: Solve for x
   x = 1,392.22/24.09
6. Step 6: Final answer
   x = 57.78