Finding the Third Proportional to 10,204 and 22,601

Step by Step Solution

1. Step 1: Write the proportion equation
   10,204 : 22,601 = 22,601 : x
2. Step 2: Convert to fraction form
   10,204/22,601 = 22,601/x
3. Step 3: Cross multiply
   10,204x = 22,601 × 22,601
4. Step 4: Simplify right side
   10,204x = 510,805,201
5. Step 5: Solve for x
   x = 510,805,201/10,204
6. Step 6: Final answer
   x = 50,059.31