Finding the Third Proportional to 10,184 and 18,000

Step by Step Solution

1. Step 1: Write the proportion equation
   10,184 : 18,000 = 18,000 : x
2. Step 2: Convert to fraction form
   10,184/18,000 = 18,000/x
3. Step 3: Cross multiply
   10,184x = 18,000 × 18,000
4. Step 4: Simplify right side
   10,184x = 324,000,000
5. Step 5: Solve for x
   x = 324,000,000/10,184
6. Step 6: Final answer
   x = 31,814.61