Finding the Third Proportional to 9,641 and 13,020

Step by Step Solution

1. Step 1: Write the proportion equation
   9,641 : 13,020 = 13,020 : x
2. Step 2: Convert to fraction form
   9,641/13,020 = 13,020/x
3. Step 3: Cross multiply
   9,641x = 13,020 × 13,020
4. Step 4: Simplify right side
   9,641x = 169,520,400
5. Step 5: Solve for x
   x = 169,520,400/9,641
6. Step 6: Final answer
   x = 17,583.28