Finding the Third Proportional to 1,178 and 2,004

Step by Step Solution

1. Step 1: Write the proportion equation
   1,178 : 2,004 = 2,004 : x
2. Step 2: Convert to fraction form
   1,178/2,004 = 2,004/x
3. Step 3: Cross multiply
   1,178x = 2,004 × 2,004
4. Step 4: Simplify right side
   1,178x = 4,016,016
5. Step 5: Solve for x
   x = 4,016,016/1,178
6. Step 6: Final answer
   x = 3,409.18