Finding the Third Proportional to 12,401 and 17,895

Step by Step Solution

1. Step 1: Write the proportion equation
   12,401 : 17,895 = 17,895 : x
2. Step 2: Convert to fraction form
   12,401/17,895 = 17,895/x
3. Step 3: Cross multiply
   12,401x = 17,895 × 17,895
4. Step 4: Simplify right side
   12,401x = 320,231,025
5. Step 5: Solve for x
   x = 320,231,025/12,401
6. Step 6: Final answer
   x = 25,823.00