Finding the Third Proportional to 31.57 and 35.31

Step by Step Solution

1. Step 1: Write the proportion equation
   31.57 : 35.31 = 35.31 : x
2. Step 2: Convert to fraction form
   31.57/35.31 = 35.31/x
3. Step 3: Cross multiply
   31.57x = 35.31 × 35.31
4. Step 4: Simplify right side
   31.57x = 1,247.04
5. Step 5: Solve for x
   x = 1,247.04/31.57
6. Step 6: Final answer
   x = 39.50