Finding the Third Proportional to 9,648 and 13,023

Step by Step Solution

1. Step 1: Write the proportion equation
   9,648 : 13,023 = 13,023 : x
2. Step 2: Convert to fraction form
   9,648/13,023 = 13,023/x
3. Step 3: Cross multiply
   9,648x = 13,023 × 13,023
4. Step 4: Simplify right side
   9,648x = 169,598,529
5. Step 5: Solve for x
   x = 169,598,529/9,648
6. Step 6: Final answer
   x = 17,578.62