Finding the Third Proportional to 10,828 and 14,616

Step by Step Solution

1. Step 1: Write the proportion equation
   10,828 : 14,616 = 14,616 : x
2. Step 2: Convert to fraction form
   10,828/14,616 = 14,616/x
3. Step 3: Cross multiply
   10,828x = 14,616 × 14,616
4. Step 4: Simplify right side
   10,828x = 213,627,456
5. Step 5: Solve for x
   x = 213,627,456/10,828
6. Step 6: Final answer
   x = 19,729.17