Finding the Third Proportional to 16,096 and 34,002

Step by Step Solution

1. Step 1: Write the proportion equation
   16,096 : 34,002 = 34,002 : x
2. Step 2: Convert to fraction form
   16,096/34,002 = 34,002/x
3. Step 3: Cross multiply
   16,096x = 34,002 × 34,002
4. Step 4: Simplify right side
   16,096x = 1,156,136,004
5. Step 5: Solve for x
   x = 1,156,136,004/16,096
6. Step 6: Final answer
   x = 71,827.54