Finding the Third Proportional to 3.30 and 3.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3.30 : 3.69 = 3.69 : x
2. Step 2: Convert to fraction form
   3.30/3.69 = 3.69/x
3. Step 3: Cross multiply
   3.30x = 3.69 × 3.69
4. Step 4: Simplify right side
   3.30x = 13.61
5. Step 5: Solve for x
   x = 13.61/3.30
6. Step 6: Final answer
   x = 4.13