Finding the Third Proportional to 9,401 and 14,642

Step by Step Solution

1. Step 1: Write the proportion equation
   9,401 : 14,642 = 14,642 : x
2. Step 2: Convert to fraction form
   9,401/14,642 = 14,642/x
3. Step 3: Cross multiply
   9,401x = 14,642 × 14,642
4. Step 4: Simplify right side
   9,401x = 214,388,164
5. Step 5: Solve for x
   x = 214,388,164/9,401
6. Step 6: Final answer
   x = 22,804.83