Finding the Third Proportional to 5,198 and 10,870

Step by Step Solution

1. Step 1: Write the proportion equation
   5,198 : 10,870 = 10,870 : x
2. Step 2: Convert to fraction form
   5,198/10,870 = 10,870/x
3. Step 3: Cross multiply
   5,198x = 10,870 × 10,870
4. Step 4: Simplify right side
   5,198x = 118,156,900
5. Step 5: Solve for x
   x = 118,156,900/5,198
6. Step 6: Final answer
   x = 22,731.22