Finding the Third Proportional to 5,977 and 13,002

Step by Step Solution

1. Step 1: Write the proportion equation
   5,977 : 13,002 = 13,002 : x
2. Step 2: Convert to fraction form
   5,977/13,002 = 13,002/x
3. Step 3: Cross multiply
   5,977x = 13,002 × 13,002
4. Step 4: Simplify right side
   5,977x = 169,052,004
5. Step 5: Solve for x
   x = 169,052,004/5,977
6. Step 6: Final answer
   x = 28,283.76