Finding the Third Proportional to 3,648 and 8,004

Step by Step Solution

1. Step 1: Write the proportion equation
   3,648 : 8,004 = 8,004 : x
2. Step 2: Convert to fraction form
   3,648/8,004 = 8,004/x
3. Step 3: Cross multiply
   3,648x = 8,004 × 8,004
4. Step 4: Simplify right side
   3,648x = 64,064,016
5. Step 5: Solve for x
   x = 64,064,016/3,648
6. Step 6: Final answer
   x = 17,561.41