Finding the Third Proportional to 31.50 and 35.06

Step by Step Solution

1. Step 1: Write the proportion equation
   31.50 : 35.06 = 35.06 : x
2. Step 2: Convert to fraction form
   31.50/35.06 = 35.06/x
3. Step 3: Cross multiply
   31.50x = 35.06 × 35.06
4. Step 4: Simplify right side
   31.50x = 1,229.38
5. Step 5: Solve for x
   x = 1,229.38/31.50
6. Step 6: Final answer
   x = 39.03