Finding the Third Proportional to 14,834 and 34,493

Step by Step Solution

1. Step 1: Write the proportion equation
   14,834 : 34,493 = 34,493 : x
2. Step 2: Convert to fraction form
   14,834/34,493 = 34,493/x
3. Step 3: Cross multiply
   14,834x = 34,493 × 34,493
4. Step 4: Simplify right side
   14,834x = 1,189,767,049
5. Step 5: Solve for x
   x = 1,189,767,049/14,834
6. Step 6: Final answer
   x = 80,205.41