Finding the Third Proportional to 16,096 and 27,434

Step by Step Solution

1. Step 1: Write the proportion equation
   16,096 : 27,434 = 27,434 : x
2. Step 2: Convert to fraction form
   16,096/27,434 = 27,434/x
3. Step 3: Cross multiply
   16,096x = 27,434 × 27,434
4. Step 4: Simplify right side
   16,096x = 752,624,356
5. Step 5: Solve for x
   x = 752,624,356/16,096
6. Step 6: Final answer
   x = 46,758.47