Finding the Third Proportional to 9,238 and 13,694

Step by Step Solution

1. Step 1: Write the proportion equation
   9,238 : 13,694 = 13,694 : x
2. Step 2: Convert to fraction form
   9,238/13,694 = 13,694/x
3. Step 3: Cross multiply
   9,238x = 13,694 × 13,694
4. Step 4: Simplify right side
   9,238x = 187,525,636
5. Step 5: Solve for x
   x = 187,525,636/9,238
6. Step 6: Final answer
   x = 20,299.38