Finding the Third Proportional to 2,010 and 2,314

Step by Step Solution

1. Step 1: Write the proportion equation
   2,010 : 2,314 = 2,314 : x
2. Step 2: Convert to fraction form
   2,010/2,314 = 2,314/x
3. Step 3: Cross multiply
   2,010x = 2,314 × 2,314
4. Step 4: Simplify right side
   2,010x = 5,354,596
5. Step 5: Solve for x
   x = 5,354,596/2,010
6. Step 6: Final answer
   x = 2,663.98