Finding the Third Proportional to 10,204 and 14,766

Step by Step Solution

1. Step 1: Write the proportion equation
   10,204 : 14,766 = 14,766 : x
2. Step 2: Convert to fraction form
   10,204/14,766 = 14,766/x
3. Step 3: Cross multiply
   10,204x = 14,766 × 14,766
4. Step 4: Simplify right side
   10,204x = 218,034,756
5. Step 5: Solve for x
   x = 218,034,756/10,204
6. Step 6: Final answer
   x = 21,367.58