Finding the Third Proportional to 2,206 and 3,004

Step by Step Solution

1. Step 1: Write the proportion equation
   2,206 : 3,004 = 3,004 : x
2. Step 2: Convert to fraction form
   2,206/3,004 = 3,004/x
3. Step 3: Cross multiply
   2,206x = 3,004 × 3,004
4. Step 4: Simplify right side
   2,206x = 9,024,016
5. Step 5: Solve for x
   x = 9,024,016/2,206
6. Step 6: Final answer
   x = 4,090.67