Finding the Third Proportional to 3,792 and 5,994

Step by Step Solution

1. Step 1: Write the proportion equation
   3,792 : 5,994 = 5,994 : x
2. Step 2: Convert to fraction form
   3,792/5,994 = 5,994/x
3. Step 3: Cross multiply
   3,792x = 5,994 × 5,994
4. Step 4: Simplify right side
   3,792x = 35,928,036
5. Step 5: Solve for x
   x = 35,928,036/3,792
6. Step 6: Final answer
   x = 9,474.69