Finding the Third Proportional to 10,144 and 21,098

Step by Step Solution

1. Step 1: Write the proportion equation
   10,144 : 21,098 = 21,098 : x
2. Step 2: Convert to fraction form
   10,144/21,098 = 21,098/x
3. Step 3: Cross multiply
   10,144x = 21,098 × 21,098
4. Step 4: Simplify right side
   10,144x = 445,125,604
5. Step 5: Solve for x
   x = 445,125,604/10,144
6. Step 6: Final answer
   x = 43,880.68