Finding the Third Proportional to 2,042 and 3,282

Step by Step Solution

1. Step 1: Write the proportion equation
   2,042 : 3,282 = 3,282 : x
2. Step 2: Convert to fraction form
   2,042/3,282 = 3,282/x
3. Step 3: Cross multiply
   2,042x = 3,282 × 3,282
4. Step 4: Simplify right side
   2,042x = 10,771,524
5. Step 5: Solve for x
   x = 10,771,524/2,042
6. Step 6: Final answer
   x = 5,274.99