Finding the Third Proportional to 31.22 and 34.59

Step by Step Solution

1. Step 1: Write the proportion equation
   31.22 : 34.59 = 34.59 : x
2. Step 2: Convert to fraction form
   31.22/34.59 = 34.59/x
3. Step 3: Cross multiply
   31.22x = 34.59 × 34.59
4. Step 4: Simplify right side
   31.22x = 1,196.73
5. Step 5: Solve for x
   x = 1,196.73/31.22
6. Step 6: Final answer
   x = 38.33