Finding the Third Proportional to 55.83 and 89.65

Step by Step Solution

1. Step 1: Write the proportion equation
   55.83 : 89.65 = 89.65 : x
2. Step 2: Convert to fraction form
   55.83/89.65 = 89.65/x
3. Step 3: Cross multiply
   55.83x = 89.65 × 89.65
4. Step 4: Simplify right side
   55.83x = 8,036.84
5. Step 5: Solve for x
   x = 8,036.84/55.83
6. Step 6: Final answer
   x = 143.96