Finding the Third Proportional to 4,400 and 10,184

Step by Step Solution

1. Step 1: Write the proportion equation
   4,400 : 10,184 = 10,184 : x
2. Step 2: Convert to fraction form
   4,400/10,184 = 10,184/x
3. Step 3: Cross multiply
   4,400x = 10,184 × 10,184
4. Step 4: Simplify right side
   4,400x = 103,713,856
5. Step 5: Solve for x
   x = 103,713,856/4,400
6. Step 6: Final answer
   x = 23,571.33