Finding the Third Proportional to 4,661 and 10,182

Step by Step Solution

1. Step 1: Write the proportion equation
   4,661 : 10,182 = 10,182 : x
2. Step 2: Convert to fraction form
   4,661/10,182 = 10,182/x
3. Step 3: Cross multiply
   4,661x = 10,182 × 10,182
4. Step 4: Simplify right side
   4,661x = 103,673,124
5. Step 5: Solve for x
   x = 103,673,124/4,661
6. Step 6: Final answer
   x = 22,242.68