Finding the Third Proportional to 1,238.50 and 3,004

Step by Step Solution

1. Step 1: Write the proportion equation
   1,238.50 : 3,004 = 3,004 : x
2. Step 2: Convert to fraction form
   1,238.50/3,004 = 3,004/x
3. Step 3: Cross multiply
   1,238.50x = 3,004 × 3,004
4. Step 4: Simplify right side
   1,238.50x = 9,024,016
5. Step 5: Solve for x
   x = 9,024,016/1,238.50
6. Step 6: Final answer
   x = 7,286.25