Finding the Third Proportional to 14,096 and 30,834

Step by Step Solution

1. Step 1: Write the proportion equation
   14,096 : 30,834 = 30,834 : x
2. Step 2: Convert to fraction form
   14,096/30,834 = 30,834/x
3. Step 3: Cross multiply
   14,096x = 30,834 × 30,834
4. Step 4: Simplify right side
   14,096x = 950,735,556
5. Step 5: Solve for x
   x = 950,735,556/14,096
6. Step 6: Final answer
   x = 67,447.19