Finding the Third Proportional to 55.83 and 86.27

Step by Step Solution

1. Step 1: Write the proportion equation
   55.83 : 86.27 = 86.27 : x
2. Step 2: Convert to fraction form
   55.83/86.27 = 86.27/x
3. Step 3: Cross multiply
   55.83x = 86.27 × 86.27
4. Step 4: Simplify right side
   55.83x = 7,443.11
5. Step 5: Solve for x
   x = 7,443.11/55.83
6. Step 6: Final answer
   x = 133.32