Finding the Third Proportional to 2,730 and 4,004

Step by Step Solution

1. Step 1: Write the proportion equation
   2,730 : 4,004 = 4,004 : x
2. Step 2: Convert to fraction form
   2,730/4,004 = 4,004/x
3. Step 3: Cross multiply
   2,730x = 4,004 × 4,004
4. Step 4: Simplify right side
   2,730x = 16,032,016
5. Step 5: Solve for x
   x = 16,032,016/2,730
6. Step 6: Final answer
   x = 5,872.53