Finding the Third Proportional to 5,338 and 10,804

Step by Step Solution

1. Step 1: Write the proportion equation
   5,338 : 10,804 = 10,804 : x
2. Step 2: Convert to fraction form
   5,338/10,804 = 10,804/x
3. Step 3: Cross multiply
   5,338x = 10,804 × 10,804
4. Step 4: Simplify right side
   5,338x = 116,726,416
5. Step 5: Solve for x
   x = 116,726,416/5,338
6. Step 6: Final answer
   x = 21,867.07