Finding the Third Proportional to 10,640 and 16,608

Step by Step Solution

1. Step 1: Write the proportion equation
   10,640 : 16,608 = 16,608 : x
2. Step 2: Convert to fraction form
   10,640/16,608 = 16,608/x
3. Step 3: Cross multiply
   10,640x = 16,608 × 16,608
4. Step 4: Simplify right side
   10,640x = 275,825,664
5. Step 5: Solve for x
   x = 275,825,664/10,640
6. Step 6: Final answer
   x = 25,923.46