Finding the Third Proportional to 9,396 and 13,694

Step by Step Solution

1. Step 1: Write the proportion equation
   9,396 : 13,694 = 13,694 : x
2. Step 2: Convert to fraction form
   9,396/13,694 = 13,694/x
3. Step 3: Cross multiply
   9,396x = 13,694 × 13,694
4. Step 4: Simplify right side
   9,396x = 187,525,636
5. Step 5: Solve for x
   x = 187,525,636/9,396
6. Step 6: Final answer
   x = 19,958.03