Finding the Third Proportional to 8,233 and 16,049

Step by Step Solution

1. Step 1: Write the proportion equation
   8,233 : 16,049 = 16,049 : x
2. Step 2: Convert to fraction form
   8,233/16,049 = 16,049/x
3. Step 3: Cross multiply
   8,233x = 16,049 × 16,049
4. Step 4: Simplify right side
   8,233x = 257,570,401
5. Step 5: Solve for x
   x = 257,570,401/8,233
6. Step 6: Final answer
   x = 31,285.12