Finding the Third Proportional to 31.24 and 42.18

Step by Step Solution

1. Step 1: Write the proportion equation
   31.24 : 42.18 = 42.18 : x
2. Step 2: Convert to fraction form
   31.24/42.18 = 42.18/x
3. Step 3: Cross multiply
   31.24x = 42.18 × 42.18
4. Step 4: Simplify right side
   31.24x = 1,779.18
5. Step 5: Solve for x
   x = 1,779.18/31.24
6. Step 6: Final answer
   x = 56.94