Finding the Third Proportional to 55.25 and 83.38

Step by Step Solution

1. Step 1: Write the proportion equation
   55.25 : 83.38 = 83.38 : x
2. Step 2: Convert to fraction form
   55.25/83.38 = 83.38/x
3. Step 3: Cross multiply
   55.25x = 83.38 × 83.38
4. Step 4: Simplify right side
   55.25x = 6,951.39
5. Step 5: Solve for x
   x = 6,951.39/55.25
6. Step 6: Final answer
   x = 125.82