Finding the Third Proportional to 31.50 and 40.88

Step by Step Solution

1. Step 1: Write the proportion equation
   31.50 : 40.88 = 40.88 : x
2. Step 2: Convert to fraction form
   31.50/40.88 = 40.88/x
3. Step 3: Cross multiply
   31.50x = 40.88 × 40.88
4. Step 4: Simplify right side
   31.50x = 1,670.77
5. Step 5: Solve for x
   x = 1,670.77/31.50
6. Step 6: Final answer
   x = 53.04