Finding the Third Proportional to 17,680 and 25,568

Step by Step Solution

1. Step 1: Write the proportion equation
   17,680 : 25,568 = 25,568 : x
2. Step 2: Convert to fraction form
   17,680/25,568 = 25,568/x
3. Step 3: Cross multiply
   17,680x = 25,568 × 25,568
4. Step 4: Simplify right side
   17,680x = 653,722,624
5. Step 5: Solve for x
   x = 653,722,624/17,680
6. Step 6: Final answer
   x = 36,975.26