Finding the Third Proportional to 13,680 and 18,040

Step by Step Solution

1. Step 1: Write the proportion equation
   13,680 : 18,040 = 18,040 : x
2. Step 2: Convert to fraction form
   13,680/18,040 = 18,040/x
3. Step 3: Cross multiply
   13,680x = 18,040 × 18,040
4. Step 4: Simplify right side
   13,680x = 325,441,600
5. Step 5: Solve for x
   x = 325,441,600/13,680
6. Step 6: Final answer
   x = 23,789.59