Finding the Third Proportional to 3.42 and 5.82

Step by Step Solution

1. Step 1: Write the proportion equation
   3.42 : 5.82 = 5.82 : x
2. Step 2: Convert to fraction form
   3.42/5.82 = 5.82/x
3. Step 3: Cross multiply
   3.42x = 5.82 × 5.82
4. Step 4: Simplify right side
   3.42x = 33.90
5. Step 5: Solve for x
   x = 33.90/3.42
6. Step 6: Final answer
   x = 9.90