Finding the Third Proportional to 12,834 and 14,814

Step by Step Solution

1. Step 1: Write the proportion equation
   12,834 : 14,814 = 14,814 : x
2. Step 2: Convert to fraction form
   12,834/14,814 = 14,814/x
3. Step 3: Cross multiply
   12,834x = 14,814 × 14,814
4. Step 4: Simplify right side
   12,834x = 219,454,596
5. Step 5: Solve for x
   x = 219,454,596/12,834
6. Step 6: Final answer
   x = 17,099.47