Finding the Third Proportional to 2,118 and 5,184

Step by Step Solution

1. Step 1: Write the proportion equation
   2,118 : 5,184 = 5,184 : x
2. Step 2: Convert to fraction form
   2,118/5,184 = 5,184/x
3. Step 3: Cross multiply
   2,118x = 5,184 × 5,184
4. Step 4: Simplify right side
   2,118x = 26,873,856
5. Step 5: Solve for x
   x = 26,873,856/2,118
6. Step 6: Final answer
   x = 12,688.32