Finding the Third Proportional to 2,838 and 3,774

Step by Step Solution

1. Step 1: Write the proportion equation
   2,838 : 3,774 = 3,774 : x
2. Step 2: Convert to fraction form
   2,838/3,774 = 3,774/x
3. Step 3: Cross multiply
   2,838x = 3,774 × 3,774
4. Step 4: Simplify right side
   2,838x = 14,243,076
5. Step 5: Solve for x
   x = 14,243,076/2,838
6. Step 6: Final answer
   x = 5,018.70