Finding the Third Proportional to 12,834 and 19,422

Step by Step Solution

1. Step 1: Write the proportion equation
   12,834 : 19,422 = 19,422 : x
2. Step 2: Convert to fraction form
   12,834/19,422 = 19,422/x
3. Step 3: Cross multiply
   12,834x = 19,422 × 19,422
4. Step 4: Simplify right side
   12,834x = 377,214,084
5. Step 5: Solve for x
   x = 377,214,084/12,834
6. Step 6: Final answer
   x = 29,391.78