Finding the Third Proportional to 10,204 and 14,610

Step by Step Solution

1. Step 1: Write the proportion equation
   10,204 : 14,610 = 14,610 : x
2. Step 2: Convert to fraction form
   10,204/14,610 = 14,610/x
3. Step 3: Cross multiply
   10,204x = 14,610 × 14,610
4. Step 4: Simplify right side
   10,204x = 213,452,100
5. Step 5: Solve for x
   x = 213,452,100/10,204
6. Step 6: Final answer
   x = 20,918.47