Finding the Third Proportional to 8,401 and 18,470

Step by Step Solution

1. Step 1: Write the proportion equation
   8,401 : 18,470 = 18,470 : x
2. Step 2: Convert to fraction form
   8,401/18,470 = 18,470/x
3. Step 3: Cross multiply
   8,401x = 18,470 × 18,470
4. Step 4: Simplify right side
   8,401x = 341,140,900
5. Step 5: Solve for x
   x = 341,140,900/8,401
6. Step 6: Final answer
   x = 40,607.18