Finding the Third Proportional to 55.69 and 91.27

Step by Step Solution

1. Step 1: Write the proportion equation
   55.69 : 91.27 = 91.27 : x
2. Step 2: Convert to fraction form
   55.69/91.27 = 91.27/x
3. Step 3: Cross multiply
   55.69x = 91.27 × 91.27
4. Step 4: Simplify right side
   55.69x = 8,329.41
5. Step 5: Solve for x
   x = 8,329.41/55.69
6. Step 6: Final answer
   x = 149.57