Finding the Third Proportional to 11,284 and 23,728

Step by Step Solution

1. Step 1: Write the proportion equation
   11,284 : 23,728 = 23,728 : x
2. Step 2: Convert to fraction form
   11,284/23,728 = 23,728/x
3. Step 3: Cross multiply
   11,284x = 23,728 × 23,728
4. Step 4: Simplify right side
   11,284x = 563,017,984
5. Step 5: Solve for x
   x = 563,017,984/11,284
6. Step 6: Final answer
   x = 49,895.25