Finding the Third Proportional to 5,700 and 13,002

Step by Step Solution

1. Step 1: Write the proportion equation
   5,700 : 13,002 = 13,002 : x
2. Step 2: Convert to fraction form
   5,700/13,002 = 13,002/x
3. Step 3: Cross multiply
   5,700x = 13,002 × 13,002
4. Step 4: Simplify right side
   5,700x = 169,052,004
5. Step 5: Solve for x
   x = 169,052,004/5,700
6. Step 6: Final answer
   x = 29,658.25