Finding the Third Proportional to 17,784 and 24,057

Step by Step Solution

1. Step 1: Write the proportion equation
   17,784 : 24,057 = 24,057 : x
2. Step 2: Convert to fraction form
   17,784/24,057 = 24,057/x
3. Step 3: Cross multiply
   17,784x = 24,057 × 24,057
4. Step 4: Simplify right side
   17,784x = 578,739,249
5. Step 5: Solve for x
   x = 578,739,249/17,784
6. Step 6: Final answer
   x = 32,542.69