Finding the Third Proportional to 8,401 and 12,845

Step by Step Solution

1. Step 1: Write the proportion equation
   8,401 : 12,845 = 12,845 : x
2. Step 2: Convert to fraction form
   8,401/12,845 = 12,845/x
3. Step 3: Cross multiply
   8,401x = 12,845 × 12,845
4. Step 4: Simplify right side
   8,401x = 164,994,025
5. Step 5: Solve for x
   x = 164,994,025/8,401
6. Step 6: Final answer
   x = 19,639.81