Finding the Third Proportional to 3.75 and 5.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3.75 : 5.69 = 5.69 : x
2. Step 2: Convert to fraction form
   3.75/5.69 = 5.69/x
3. Step 3: Cross multiply
   3.75x = 5.69 × 5.69
4. Step 4: Simplify right side
   3.75x = 32.35
5. Step 5: Solve for x
   x = 32.35/3.75
6. Step 6: Final answer
   x = 8.63