Finding the Third Proportional to 2,370 and 3,314

Step by Step Solution

1. Step 1: Write the proportion equation
   2,370 : 3,314 = 3,314 : x
2. Step 2: Convert to fraction form
   2,370/3,314 = 3,314/x
3. Step 3: Cross multiply
   2,370x = 3,314 × 3,314
4. Step 4: Simplify right side
   2,370x = 10,982,596
5. Step 5: Solve for x
   x = 10,982,596/2,370
6. Step 6: Final answer
   x = 4,634.01