Finding the Third Proportional to 16,048 and 17,680

Step by Step Solution

1. Step 1: Write the proportion equation
   16,048 : 17,680 = 17,680 : x
2. Step 2: Convert to fraction form
   16,048/17,680 = 17,680/x
3. Step 3: Cross multiply
   16,048x = 17,680 × 17,680
4. Step 4: Simplify right side
   16,048x = 312,582,400
5. Step 5: Solve for x
   x = 312,582,400/16,048
6. Step 6: Final answer
   x = 19,477.97