Finding the Third Proportional to 17,761 and 24,049

Step by Step Solution

1. Step 1: Write the proportion equation
   17,761 : 24,049 = 24,049 : x
2. Step 2: Convert to fraction form
   17,761/24,049 = 24,049/x
3. Step 3: Cross multiply
   17,761x = 24,049 × 24,049
4. Step 4: Simplify right side
   17,761x = 578,354,401
5. Step 5: Solve for x
   x = 578,354,401/17,761
6. Step 6: Final answer
   x = 32,563.17