Finding the Third Proportional to 38.55 and 56.48

Step by Step Solution

1. Step 1: Write the proportion equation
   38.55 : 56.48 = 56.48 : x
2. Step 2: Convert to fraction form
   38.55/56.48 = 56.48/x
3. Step 3: Cross multiply
   38.55x = 56.48 × 56.48
4. Step 4: Simplify right side
   38.55x = 3,189.82
5. Step 5: Solve for x
   x = 3,189.82/38.55
6. Step 6: Final answer
   x = 82.75