Finding the Third Proportional to 38.50 and 42.38

Step by Step Solution

1. Step 1: Write the proportion equation
   38.50 : 42.38 = 42.38 : x
2. Step 2: Convert to fraction form
   38.50/42.38 = 42.38/x
3. Step 3: Cross multiply
   38.50x = 42.38 × 42.38
4. Step 4: Simplify right side
   38.50x = 1,795.64
5. Step 5: Solve for x
   x = 1,795.64/38.50
6. Step 6: Final answer
   x = 46.64