Finding the Third Proportional to 2,514 and 3,830

Step by Step Solution

1. Step 1: Write the proportion equation
   2,514 : 3,830 = 3,830 : x
2. Step 2: Convert to fraction form
   2,514/3,830 = 3,830/x
3. Step 3: Cross multiply
   2,514x = 3,830 × 3,830
4. Step 4: Simplify right side
   2,514x = 14,668,900
5. Step 5: Solve for x
   x = 14,668,900/2,514
6. Step 6: Final answer
   x = 5,834.88