Finding the Third Proportional to 3,540 and 5,304

Step by Step Solution

1. Step 1: Write the proportion equation
   3,540 : 5,304 = 5,304 : x
2. Step 2: Convert to fraction form
   3,540/5,304 = 5,304/x
3. Step 3: Cross multiply
   3,540x = 5,304 × 5,304
4. Step 4: Simplify right side
   3,540x = 28,132,416
5. Step 5: Solve for x
   x = 28,132,416/3,540
6. Step 6: Final answer
   x = 7,947.01