Finding the Third Proportional to 16,128 and 25,680

Step by Step Solution

1. Step 1: Write the proportion equation
   16,128 : 25,680 = 25,680 : x
2. Step 2: Convert to fraction form
   16,128/25,680 = 25,680/x
3. Step 3: Cross multiply
   16,128x = 25,680 × 25,680
4. Step 4: Simplify right side
   16,128x = 659,462,400
5. Step 5: Solve for x
   x = 659,462,400/16,128
6. Step 6: Final answer
   x = 40,889.29