Finding the Third Proportional to 23,596 and 51,568

Step by Step Solution

1. Step 1: Write the proportion equation
   23,596 : 51,568 = 51,568 : x
2. Step 2: Convert to fraction form
   23,596/51,568 = 51,568/x
3. Step 3: Cross multiply
   23,596x = 51,568 × 51,568
4. Step 4: Simplify right side
   23,596x = 2,659,258,624
5. Step 5: Solve for x
   x = 2,659,258,624/23,596
6. Step 6: Final answer
   x = 112,699.55