Finding the Third Proportional to 10,182 and 20,868

Step by Step Solution

1. Step 1: Write the proportion equation
   10,182 : 20,868 = 20,868 : x
2. Step 2: Convert to fraction form
   10,182/20,868 = 20,868/x
3. Step 3: Cross multiply
   10,182x = 20,868 × 20,868
4. Step 4: Simplify right side
   10,182x = 435,473,424
5. Step 5: Solve for x
   x = 435,473,424/10,182
6. Step 6: Final answer
   x = 42,768.95