Finding the Third Proportional to 38.88 and 54.56

Step by Step Solution

1. Step 1: Write the proportion equation
   38.88 : 54.56 = 54.56 : x
2. Step 2: Convert to fraction form
   38.88/54.56 = 54.56/x
3. Step 3: Cross multiply
   38.88x = 54.56 × 54.56
4. Step 4: Simplify right side
   38.88x = 2,977.07
5. Step 5: Solve for x
   x = 2,977.07/38.88
6. Step 6: Final answer
   x = 76.58