Finding the Third Proportional to 12,401 and 25,805

Step by Step Solution

1. Step 1: Write the proportion equation
   12,401 : 25,805 = 25,805 : x
2. Step 2: Convert to fraction form
   12,401/25,805 = 25,805/x
3. Step 3: Cross multiply
   12,401x = 25,805 × 25,805
4. Step 4: Simplify right side
   12,401x = 665,898,025
5. Step 5: Solve for x
   x = 665,898,025/12,401
6. Step 6: Final answer
   x = 53,697.12