Finding the Third Proportional to 2,554 and 3,830

Step by Step Solution

1. Step 1: Write the proportion equation
   2,554 : 3,830 = 3,830 : x
2. Step 2: Convert to fraction form
   2,554/3,830 = 3,830/x
3. Step 3: Cross multiply
   2,554x = 3,830 × 3,830
4. Step 4: Simplify right side
   2,554x = 14,668,900
5. Step 5: Solve for x
   x = 14,668,900/2,554
6. Step 6: Final answer
   x = 5,743.50