Finding the Third Proportional to 10,198 and 21,510

Step by Step Solution

1. Step 1: Write the proportion equation
   10,198 : 21,510 = 21,510 : x
2. Step 2: Convert to fraction form
   10,198/21,510 = 21,510/x
3. Step 3: Cross multiply
   10,198x = 21,510 × 21,510
4. Step 4: Simplify right side
   10,198x = 462,680,100
5. Step 5: Solve for x
   x = 462,680,100/10,198
6. Step 6: Final answer
   x = 45,369.69