Finding the Third Proportional to 3,838 and 5,878

Step by Step Solution

1. Step 1: Write the proportion equation
   3,838 : 5,878 = 5,878 : x
2. Step 2: Convert to fraction form
   3,838/5,878 = 5,878/x
3. Step 3: Cross multiply
   3,838x = 5,878 × 5,878
4. Step 4: Simplify right side
   3,838x = 34,550,884
5. Step 5: Solve for x
   x = 34,550,884/3,838
6. Step 6: Final answer
   x = 9,002.31