Finding the Third Proportional to 9,692 and 13,834

Step by Step Solution

1. Step 1: Write the proportion equation
   9,692 : 13,834 = 13,834 : x
2. Step 2: Convert to fraction form
   9,692/13,834 = 13,834/x
3. Step 3: Cross multiply
   9,692x = 13,834 × 13,834
4. Step 4: Simplify right side
   9,692x = 191,379,556
5. Step 5: Solve for x
   x = 191,379,556/9,692
6. Step 6: Final answer
   x = 19,746.14