Finding the Third Proportional to 54.56 and 91.27

Step by Step Solution

1. Step 1: Write the proportion equation
   54.56 : 91.27 = 91.27 : x
2. Step 2: Convert to fraction form
   54.56/91.27 = 91.27/x
3. Step 3: Cross multiply
   54.56x = 91.27 × 91.27
4. Step 4: Simplify right side
   54.56x = 8,329.41
5. Step 5: Solve for x
   x = 8,329.41/54.56
6. Step 6: Final answer
   x = 152.66