Finding the Third Proportional to 16,264 and 24,568

Step by Step Solution

1. Step 1: Write the proportion equation
   16,264 : 24,568 = 24,568 : x
2. Step 2: Convert to fraction form
   16,264/24,568 = 24,568/x
3. Step 3: Cross multiply
   16,264x = 24,568 × 24,568
4. Step 4: Simplify right side
   16,264x = 603,586,624
5. Step 5: Solve for x
   x = 603,586,624/16,264
6. Step 6: Final answer
   x = 37,111.82