Finding the Third Proportional to 13,823 and 20,834

Step by Step Solution

1. Step 1: Write the proportion equation
   13,823 : 20,834 = 20,834 : x
2. Step 2: Convert to fraction form
   13,823/20,834 = 20,834/x
3. Step 3: Cross multiply
   13,823x = 20,834 × 20,834
4. Step 4: Simplify right side
   13,823x = 434,055,556
5. Step 5: Solve for x
   x = 434,055,556/13,823
6. Step 6: Final answer
   x = 31,400.97