Finding the Third Proportional to 5,198 and 10,906

Step by Step Solution

1. Step 1: Write the proportion equation
   5,198 : 10,906 = 10,906 : x
2. Step 2: Convert to fraction form
   5,198/10,906 = 10,906/x
3. Step 3: Cross multiply
   5,198x = 10,906 × 10,906
4. Step 4: Simplify right side
   5,198x = 118,940,836
5. Step 5: Solve for x
   x = 118,940,836/5,198
6. Step 6: Final answer
   x = 22,882.04