Finding the Third Proportional to 16,096 and 23,109

Step by Step Solution

1. Step 1: Write the proportion equation
   16,096 : 23,109 = 23,109 : x
2. Step 2: Convert to fraction form
   16,096/23,109 = 23,109/x
3. Step 3: Cross multiply
   16,096x = 23,109 × 23,109
4. Step 4: Simplify right side
   16,096x = 534,025,881
5. Step 5: Solve for x
   x = 534,025,881/16,096
6. Step 6: Final answer
   x = 33,177.55