Finding the Third Proportional to 5,198 and 10,816

Step by Step Solution

1. Step 1: Write the proportion equation
   5,198 : 10,816 = 10,816 : x
2. Step 2: Convert to fraction form
   5,198/10,816 = 10,816/x
3. Step 3: Cross multiply
   5,198x = 10,816 × 10,816
4. Step 4: Simplify right side
   5,198x = 116,985,856
5. Step 5: Solve for x
   x = 116,985,856/5,198
6. Step 6: Final answer
   x = 22,505.94