Finding the Third Proportional to 16,400 and 19,280

Step by Step Solution

1. Step 1: Write the proportion equation
   16,400 : 19,280 = 19,280 : x
2. Step 2: Convert to fraction form
   16,400/19,280 = 19,280/x
3. Step 3: Cross multiply
   16,400x = 19,280 × 19,280
4. Step 4: Simplify right side
   16,400x = 371,718,400
5. Step 5: Solve for x
   x = 371,718,400/16,400
6. Step 6: Final answer
   x = 22,665.76