Finding the Third Proportional to 12,401 and 18,601

Step by Step Solution

1. Step 1: Write the proportion equation
   12,401 : 18,601 = 18,601 : x
2. Step 2: Convert to fraction form
   12,401/18,601 = 18,601/x
3. Step 3: Cross multiply
   12,401x = 18,601 × 18,601
4. Step 4: Simplify right side
   12,401x = 345,997,201
5. Step 5: Solve for x
   x = 345,997,201/12,401
6. Step 6: Final answer
   x = 27,900.75