Finding the Third Proportional to 10,578 and 21,828

Step by Step Solution

1. Step 1: Write the proportion equation
   10,578 : 21,828 = 21,828 : x
2. Step 2: Convert to fraction form
   10,578/21,828 = 21,828/x
3. Step 3: Cross multiply
   10,578x = 21,828 × 21,828
4. Step 4: Simplify right side
   10,578x = 476,461,584
5. Step 5: Solve for x
   x = 476,461,584/10,578
6. Step 6: Final answer
   x = 45,042.69