Finding the Third Proportional to 4,838 and 5,294

Step by Step Solution

1. Step 1: Write the proportion equation
   4,838 : 5,294 = 5,294 : x
2. Step 2: Convert to fraction form
   4,838/5,294 = 5,294/x
3. Step 3: Cross multiply
   4,838x = 5,294 × 5,294
4. Step 4: Simplify right side
   4,838x = 28,026,436
5. Step 5: Solve for x
   x = 28,026,436/4,838
6. Step 6: Final answer
   x = 5,792.98