Finding the Third Proportional to 2,018 and 2,274

Step by Step Solution

1. Step 1: Write the proportion equation
   2,018 : 2,274 = 2,274 : x
2. Step 2: Convert to fraction form
   2,018/2,274 = 2,274/x
3. Step 3: Cross multiply
   2,018x = 2,274 × 2,274
4. Step 4: Simplify right side
   2,018x = 5,171,076
5. Step 5: Solve for x
   x = 5,171,076/2,018
6. Step 6: Final answer
   x = 2,562.48