Finding the Third Proportional to 9,828 and 21,478

Step by Step Solution

1. Step 1: Write the proportion equation
   9,828 : 21,478 = 21,478 : x
2. Step 2: Convert to fraction form
   9,828/21,478 = 21,478/x
3. Step 3: Cross multiply
   9,828x = 21,478 × 21,478
4. Step 4: Simplify right side
   9,828x = 461,304,484
5. Step 5: Solve for x
   x = 461,304,484/9,828
6. Step 6: Final answer
   x = 46,937.78