Finding the Third Proportional to 5,198 and 10,492

Step by Step Solution

1. Step 1: Write the proportion equation
   5,198 : 10,492 = 10,492 : x
2. Step 2: Convert to fraction form
   5,198/10,492 = 10,492/x
3. Step 3: Cross multiply
   5,198x = 10,492 × 10,492
4. Step 4: Simplify right side
   5,198x = 110,082,064
5. Step 5: Solve for x
   x = 110,082,064/5,198
6. Step 6: Final answer
   x = 21,177.77