Finding the Third Proportional to 12,048 and 17,640

Step by Step Solution

1. Step 1: Write the proportion equation
   12,048 : 17,640 = 17,640 : x
2. Step 2: Convert to fraction form
   12,048/17,640 = 17,640/x
3. Step 3: Cross multiply
   12,048x = 17,640 × 17,640
4. Step 4: Simplify right side
   12,048x = 311,169,600
5. Step 5: Solve for x
   x = 311,169,600/12,048
6. Step 6: Final answer
   x = 25,827.49