Finding the Third Proportional to 3.25 and 3.82

Step by Step Solution

1. Step 1: Write the proportion equation
   3.25 : 3.82 = 3.82 : x
2. Step 2: Convert to fraction form
   3.25/3.82 = 3.82/x
3. Step 3: Cross multiply
   3.25x = 3.82 × 3.82
4. Step 4: Simplify right side
   3.25x = 14.61
5. Step 5: Solve for x
   x = 14.61/3.25
6. Step 6: Final answer
   x = 4.50