Finding the Third Proportional to 10,120 and 13,002

Step by Step Solution

1. Step 1: Write the proportion equation
   10,120 : 13,002 = 13,002 : x
2. Step 2: Convert to fraction form
   10,120/13,002 = 13,002/x
3. Step 3: Cross multiply
   10,120x = 13,002 × 13,002
4. Step 4: Simplify right side
   10,120x = 169,052,004
5. Step 5: Solve for x
   x = 169,052,004/10,120
6. Step 6: Final answer
   x = 16,704.74