Finding the Third Proportional to 10,294 and 21,812

Step by Step Solution

1. Step 1: Write the proportion equation
   10,294 : 21,812 = 21,812 : x
2. Step 2: Convert to fraction form
   10,294/21,812 = 21,812/x
3. Step 3: Cross multiply
   10,294x = 21,812 × 21,812
4. Step 4: Simplify right side
   10,294x = 475,763,344
5. Step 5: Solve for x
   x = 475,763,344/10,294
6. Step 6: Final answer
   x = 46,217.54