Finding the Third Proportional to 17,724 and 24,783

Step by Step Solution

1. Step 1: Write the proportion equation
   17,724 : 24,783 = 24,783 : x
2. Step 2: Convert to fraction form
   17,724/24,783 = 24,783/x
3. Step 3: Cross multiply
   17,724x = 24,783 × 24,783
4. Step 4: Simplify right side
   17,724x = 614,197,089
5. Step 5: Solve for x
   x = 614,197,089/17,724
6. Step 6: Final answer
   x = 34,653.41