Finding the Third Proportional to 38.80 and 57.15

Step by Step Solution

1. Step 1: Write the proportion equation
   38.80 : 57.15 = 57.15 : x
2. Step 2: Convert to fraction form
   38.80/57.15 = 57.15/x
3. Step 3: Cross multiply
   38.80x = 57.15 × 57.15
4. Step 4: Simplify right side
   38.80x = 3,266.22
5. Step 5: Solve for x
   x = 3,266.22/38.80
6. Step 6: Final answer
   x = 84.18