Finding the Third Proportional to 9,692 and 13,836

Step by Step Solution

1. Step 1: Write the proportion equation
   9,692 : 13,836 = 13,836 : x
2. Step 2: Convert to fraction form
   9,692/13,836 = 13,836/x
3. Step 3: Cross multiply
   9,692x = 13,836 × 13,836
4. Step 4: Simplify right side
   9,692x = 191,434,896
5. Step 5: Solve for x
   x = 191,434,896/9,692
6. Step 6: Final answer
   x = 19,751.85