Finding the Third Proportional to 3.24 and 5.89

Step by Step Solution

1. Step 1: Write the proportion equation
   3.24 : 5.89 = 5.89 : x
2. Step 2: Convert to fraction form
   3.24/5.89 = 5.89/x
3. Step 3: Cross multiply
   3.24x = 5.89 × 5.89
4. Step 4: Simplify right side
   3.24x = 34.72
5. Step 5: Solve for x
   x = 34.72/3.24
6. Step 6: Final answer
   x = 10.71