Finding the Third Proportional to 17,744 and 34,108

Step by Step Solution

1. Step 1: Write the proportion equation
   17,744 : 34,108 = 34,108 : x
2. Step 2: Convert to fraction form
   17,744/34,108 = 34,108/x
3. Step 3: Cross multiply
   17,744x = 34,108 × 34,108
4. Step 4: Simplify right side
   17,744x = 1,163,355,664
5. Step 5: Solve for x
   x = 1,163,355,664/17,744
6. Step 6: Final answer
   x = 65,563.33