Finding the Third Proportional to 2,314 and 3,282

Step by Step Solution

1. Step 1: Write the proportion equation
   2,314 : 3,282 = 3,282 : x
2. Step 2: Convert to fraction form
   2,314/3,282 = 3,282/x
3. Step 3: Cross multiply
   2,314x = 3,282 × 3,282
4. Step 4: Simplify right side
   2,314x = 10,771,524
5. Step 5: Solve for x
   x = 10,771,524/2,314
6. Step 6: Final answer
   x = 4,654.94