Finding the Third Proportional to 16,097 and 23,568

Step by Step Solution

1. Step 1: Write the proportion equation
   16,097 : 23,568 = 23,568 : x
2. Step 2: Convert to fraction form
   16,097/23,568 = 23,568/x
3. Step 3: Cross multiply
   16,097x = 23,568 × 23,568
4. Step 4: Simplify right side
   16,097x = 555,450,624
5. Step 5: Solve for x
   x = 555,450,624/16,097
6. Step 6: Final answer
   x = 34,506.47