Finding the Third Proportional to 3.69 and 5.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3.69 : 5.25 = 5.25 : x
2. Step 2: Convert to fraction form
   3.69/5.25 = 5.25/x
3. Step 3: Cross multiply
   3.69x = 5.25 × 5.25
4. Step 4: Simplify right side
   3.69x = 27.56
5. Step 5: Solve for x
   x = 27.56/3.69
6. Step 6: Final answer
   x = 7.47