Finding the Third Proportional to 41.50 and 46.38

Step by Step Solution

1. Step 1: Write the proportion equation
   41.50 : 46.38 = 46.38 : x
2. Step 2: Convert to fraction form
   41.50/46.38 = 46.38/x
3. Step 3: Cross multiply
   41.50x = 46.38 × 46.38
4. Step 4: Simplify right side
   41.50x = 2,150.64
5. Step 5: Solve for x
   x = 2,150.64/41.50
6. Step 6: Final answer
   x = 51.82