Finding the Third Proportional to 8,084 and 12,238

Step by Step Solution

1. Step 1: Write the proportion equation
   8,084 : 12,238 = 12,238 : x
2. Step 2: Convert to fraction form
   8,084/12,238 = 12,238/x
3. Step 3: Cross multiply
   8,084x = 12,238 × 12,238
4. Step 4: Simplify right side
   8,084x = 149,768,644
5. Step 5: Solve for x
   x = 149,768,644/8,084
6. Step 6: Final answer
   x = 18,526.55