Finding the Third Proportional to 3,834 and 5,774

Step by Step Solution

1. Step 1: Write the proportion equation
   3,834 : 5,774 = 5,774 : x
2. Step 2: Convert to fraction form
   3,834/5,774 = 5,774/x
3. Step 3: Cross multiply
   3,834x = 5,774 × 5,774
4. Step 4: Simplify right side
   3,834x = 33,339,076
5. Step 5: Solve for x
   x = 33,339,076/3,834
6. Step 6: Final answer
   x = 8,695.64