Finding the Third Proportional to 10,469 and 18,084

Step by Step Solution

1. Step 1: Write the proportion equation
   10,469 : 18,084 = 18,084 : x
2. Step 2: Convert to fraction form
   10,469/18,084 = 18,084/x
3. Step 3: Cross multiply
   10,469x = 18,084 × 18,084
4. Step 4: Simplify right side
   10,469x = 327,031,056
5. Step 5: Solve for x
   x = 327,031,056/10,469
6. Step 6: Final answer
   x = 31,238.04