Finding the Third Proportional to 4,714 and 10,166

Step by Step Solution

1. Step 1: Write the proportion equation
   4,714 : 10,166 = 10,166 : x
2. Step 2: Convert to fraction form
   4,714/10,166 = 10,166/x
3. Step 3: Cross multiply
   4,714x = 10,166 × 10,166
4. Step 4: Simplify right side
   4,714x = 103,347,556
5. Step 5: Solve for x
   x = 103,347,556/4,714
6. Step 6: Final answer
   x = 21,923.54