Finding the Third Proportional to 40.50 and 46.31

Step by Step Solution

1. Step 1: Write the proportion equation
   40.50 : 46.31 = 46.31 : x
2. Step 2: Convert to fraction form
   40.50/46.31 = 46.31/x
3. Step 3: Cross multiply
   40.50x = 46.31 × 46.31
4. Step 4: Simplify right side
   40.50x = 2,144.85
5. Step 5: Solve for x
   x = 2,144.85/40.50
6. Step 6: Final answer
   x = 52.96