Finding the Third Proportional to 2,028 and 4,686

Step by Step Solution

1. Step 1: Write the proportion equation
   2,028 : 4,686 = 4,686 : x
2. Step 2: Convert to fraction form
   2,028/4,686 = 4,686/x
3. Step 3: Cross multiply
   2,028x = 4,686 × 4,686
4. Step 4: Simplify right side
   2,028x = 21,958,596
5. Step 5: Solve for x
   x = 21,958,596/2,028
6. Step 6: Final answer
   x = 10,827.71