Finding the Third Proportional to 55.27 and 84.59

Step by Step Solution

1. Step 1: Write the proportion equation
   55.27 : 84.59 = 84.59 : x
2. Step 2: Convert to fraction form
   55.27/84.59 = 84.59/x
3. Step 3: Cross multiply
   55.27x = 84.59 × 84.59
4. Step 4: Simplify right side
   55.27x = 7,154.78
5. Step 5: Solve for x
   x = 7,154.78/55.27
6. Step 6: Final answer
   x = 129.46