Finding the Third Proportional to 5,540 and 13,184

Step by Step Solution

1. Step 1: Write the proportion equation
   5,540 : 13,184 = 13,184 : x
2. Step 2: Convert to fraction form
   5,540/13,184 = 13,184/x
3. Step 3: Cross multiply
   5,540x = 13,184 × 13,184
4. Step 4: Simplify right side
   5,540x = 173,817,856
5. Step 5: Solve for x
   x = 173,817,856/5,540
6. Step 6: Final answer
   x = 31,375.06