Finding the Third Proportional to 12,834 and 13,806

Step by Step Solution

1. Step 1: Write the proportion equation
   12,834 : 13,806 = 13,806 : x
2. Step 2: Convert to fraction form
   12,834/13,806 = 13,806/x
3. Step 3: Cross multiply
   12,834x = 13,806 × 13,806
4. Step 4: Simplify right side
   12,834x = 190,605,636
5. Step 5: Solve for x
   x = 190,605,636/12,834
6. Step 6: Final answer
   x = 14,851.62