Finding the Third Proportional to 13,792 and 19,280

Step by Step Solution

1. Step 1: Write the proportion equation
   13,792 : 19,280 = 19,280 : x
2. Step 2: Convert to fraction form
   13,792/19,280 = 19,280/x
3. Step 3: Cross multiply
   13,792x = 19,280 × 19,280
4. Step 4: Simplify right side
   13,792x = 371,718,400
5. Step 5: Solve for x
   x = 371,718,400/13,792
6. Step 6: Final answer
   x = 26,951.74