Finding the Third Proportional to 10,176 and 20,856

Step by Step Solution

1. Step 1: Write the proportion equation
   10,176 : 20,856 = 20,856 : x
2. Step 2: Convert to fraction form
   10,176/20,856 = 20,856/x
3. Step 3: Cross multiply
   10,176x = 20,856 × 20,856
4. Step 4: Simplify right side
   10,176x = 434,972,736
5. Step 5: Solve for x
   x = 434,972,736/10,176
6. Step 6: Final answer
   x = 42,744.96