Finding the Third Proportional to 5,338 and 10,676

Step by Step Solution

1. Step 1: Write the proportion equation
   5,338 : 10,676 = 10,676 : x
2. Step 2: Convert to fraction form
   5,338/10,676 = 10,676/x
3. Step 3: Cross multiply
   5,338x = 10,676 × 10,676
4. Step 4: Simplify right side
   5,338x = 113,976,976
5. Step 5: Solve for x
   x = 113,976,976/5,338
6. Step 6: Final answer
   x = 21,352