Finding the Third Proportional to 5,184 and 10,686

Step by Step Solution

1. Step 1: Write the proportion equation
   5,184 : 10,686 = 10,686 : x
2. Step 2: Convert to fraction form
   5,184/10,686 = 10,686/x
3. Step 3: Cross multiply
   5,184x = 10,686 × 10,686
4. Step 4: Simplify right side
   5,184x = 114,190,596
5. Step 5: Solve for x
   x = 114,190,596/5,184
6. Step 6: Final answer
   x = 22,027.51