Finding the Third Proportional to 3,838 and 5,582

Step by Step Solution

1. Step 1: Write the proportion equation
   3,838 : 5,582 = 5,582 : x
2. Step 2: Convert to fraction form
   3,838/5,582 = 5,582/x
3. Step 3: Cross multiply
   3,838x = 5,582 × 5,582
4. Step 4: Simplify right side
   3,838x = 31,158,724
5. Step 5: Solve for x
   x = 31,158,724/3,838
6. Step 6: Final answer
   x = 8,118.48