Finding the Third Proportional to 5,794 and 12,002

Step by Step Solution

1. Step 1: Write the proportion equation
   5,794 : 12,002 = 12,002 : x
2. Step 2: Convert to fraction form
   5,794/12,002 = 12,002/x
3. Step 3: Cross multiply
   5,794x = 12,002 × 12,002
4. Step 4: Simplify right side
   5,794x = 144,048,004
5. Step 5: Solve for x
   x = 144,048,004/5,794
6. Step 6: Final answer
   x = 24,861.58