Finding the Third Proportional to 31.50 and 34.31

Step by Step Solution

1. Step 1: Write the proportion equation
   31.50 : 34.31 = 34.31 : x
2. Step 2: Convert to fraction form
   31.50/34.31 = 34.31/x
3. Step 3: Cross multiply
   31.50x = 34.31 × 34.31
4. Step 4: Simplify right side
   31.50x = 1,177.35
5. Step 5: Solve for x
   x = 1,177.35/31.50
6. Step 6: Final answer
   x = 37.38