Finding the Third Proportional to 31.38 and 42.69

Step by Step Solution

1. Step 1: Write the proportion equation
   31.38 : 42.69 = 42.69 : x
2. Step 2: Convert to fraction form
   31.38/42.69 = 42.69/x
3. Step 3: Cross multiply
   31.38x = 42.69 × 42.69
4. Step 4: Simplify right side
   31.38x = 1,822.22
5. Step 5: Solve for x
   x = 1,822.22/31.38
6. Step 6: Final answer
   x = 58.08