Finding the Third Proportional to 5,040 and 13,680

Step by Step Solution

1. Step 1: Write the proportion equation
   5,040 : 13,680 = 13,680 : x
2. Step 2: Convert to fraction form
   5,040/13,680 = 13,680/x
3. Step 3: Cross multiply
   5,040x = 13,680 × 13,680
4. Step 4: Simplify right side
   5,040x = 187,142,400
5. Step 5: Solve for x
   x = 187,142,400/5,040
6. Step 6: Final answer
   x = 37,131.43