Finding the Third Proportional to 3,838 and 5,298

Step by Step Solution

1. Step 1: Write the proportion equation
   3,838 : 5,298 = 5,298 : x
2. Step 2: Convert to fraction form
   3,838/5,298 = 5,298/x
3. Step 3: Cross multiply
   3,838x = 5,298 × 5,298
4. Step 4: Simplify right side
   3,838x = 28,068,804
5. Step 5: Solve for x
   x = 28,068,804/3,838
6. Step 6: Final answer
   x = 7,313.39