Finding the Third Proportional to 2,166 and 4,698

Step by Step Solution

1. Step 1: Write the proportion equation
   2,166 : 4,698 = 4,698 : x
2. Step 2: Convert to fraction form
   2,166/4,698 = 4,698/x
3. Step 3: Cross multiply
   2,166x = 4,698 × 4,698
4. Step 4: Simplify right side
   2,166x = 22,071,204
5. Step 5: Solve for x
   x = 22,071,204/2,166
6. Step 6: Final answer
   x = 10,189.84