Finding the Third Proportional to 16,096 and 33,940

Step by Step Solution

1. Step 1: Write the proportion equation
   16,096 : 33,940 = 33,940 : x
2. Step 2: Convert to fraction form
   16,096/33,940 = 33,940/x
3. Step 3: Cross multiply
   16,096x = 33,940 × 33,940
4. Step 4: Simplify right side
   16,096x = 1,151,923,600
5. Step 5: Solve for x
   x = 1,151,923,600/16,096
6. Step 6: Final answer
   x = 71,565.83