Finding the Third Proportional to 14,568 and 23,216

Step by Step Solution

1. Step 1: Write the proportion equation
   14,568 : 23,216 = 23,216 : x
2. Step 2: Convert to fraction form
   14,568/23,216 = 23,216/x
3. Step 3: Cross multiply
   14,568x = 23,216 × 23,216
4. Step 4: Simplify right side
   14,568x = 538,982,656
5. Step 5: Solve for x
   x = 538,982,656/14,568
6. Step 6: Final answer
   x = 36,997.71