Finding the Third Proportional to 6,419 and 13,834

Step by Step Solution

1. Step 1: Write the proportion equation
   6,419 : 13,834 = 13,834 : x
2. Step 2: Convert to fraction form
   6,419/13,834 = 13,834/x
3. Step 3: Cross multiply
   6,419x = 13,834 × 13,834
4. Step 4: Simplify right side
   6,419x = 191,379,556
5. Step 5: Solve for x
   x = 191,379,556/6,419
6. Step 6: Final answer
   x = 29,814.54