Finding the Third Proportional to 55.38 and 84.56

Step by Step Solution

1. Step 1: Write the proportion equation
   55.38 : 84.56 = 84.56 : x
2. Step 2: Convert to fraction form
   55.38/84.56 = 84.56/x
3. Step 3: Cross multiply
   55.38x = 84.56 × 84.56
4. Step 4: Simplify right side
   55.38x = 7,150.82
5. Step 5: Solve for x
   x = 7,150.82/55.38
6. Step 6: Final answer
   x = 129.13