Finding the Third Proportional to 2.13 and 5.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2.13 : 5.69 = 5.69 : x
2. Step 2: Convert to fraction form
   2.13/5.69 = 5.69/x
3. Step 3: Cross multiply
   2.13x = 5.69 × 5.69
4. Step 4: Simplify right side
   2.13x = 32.35
5. Step 5: Solve for x
   x = 32.35/2.13
6. Step 6: Final answer
   x = 15.22