Finding the Third Proportional to 19,728 and 41,904

Step by Step Solution

1. Step 1: Write the proportion equation
   19,728 : 41,904 = 41,904 : x
2. Step 2: Convert to fraction form
   19,728/41,904 = 41,904/x
3. Step 3: Cross multiply
   19,728x = 41,904 × 41,904
4. Step 4: Simplify right side
   19,728x = 1,755,945,216
5. Step 5: Solve for x
   x = 1,755,945,216/19,728
6. Step 6: Final answer
   x = 89,007.77