Finding the Third Proportional to 12,401 and 17,346

Step by Step Solution

1. Step 1: Write the proportion equation
   12,401 : 17,346 = 17,346 : x
2. Step 2: Convert to fraction form
   12,401/17,346 = 17,346/x
3. Step 3: Cross multiply
   12,401x = 17,346 × 17,346
4. Step 4: Simplify right side
   12,401x = 300,883,716
5. Step 5: Solve for x
   x = 300,883,716/12,401
6. Step 6: Final answer
   x = 24,262.86