Finding the Third Proportional to 17,724 and 38,568

Step by Step Solution

1. Step 1: Write the proportion equation
   17,724 : 38,568 = 38,568 : x
2. Step 2: Convert to fraction form
   17,724/38,568 = 38,568/x
3. Step 3: Cross multiply
   17,724x = 38,568 × 38,568
4. Step 4: Simplify right side
   17,724x = 1,487,490,624
5. Step 5: Solve for x
   x = 1,487,490,624/17,724
6. Step 6: Final answer
   x = 83,925.22