Finding the Third Proportional to 2,256 and 4,792

Step by Step Solution

1. Step 1: Write the proportion equation
   2,256 : 4,792 = 4,792 : x
2. Step 2: Convert to fraction form
   2,256/4,792 = 4,792/x
3. Step 3: Cross multiply
   2,256x = 4,792 × 4,792
4. Step 4: Simplify right side
   2,256x = 22,963,264
5. Step 5: Solve for x
   x = 22,963,264/2,256
6. Step 6: Final answer
   x = 10,178.75