Finding the Third Proportional to 38.30 and 57.42

Step by Step Solution

1. Step 1: Write the proportion equation
   38.30 : 57.42 = 57.42 : x
2. Step 2: Convert to fraction form
   38.30/57.42 = 57.42/x
3. Step 3: Cross multiply
   38.30x = 57.42 × 57.42
4. Step 4: Simplify right side
   38.30x = 3,297.27
5. Step 5: Solve for x
   x = 3,297.27/38.30
6. Step 6: Final answer
   x = 86.10