Finding the Third Proportional to 9,404 and 14,644

Step by Step Solution

1. Step 1: Write the proportion equation
   9,404 : 14,644 = 14,644 : x
2. Step 2: Convert to fraction form
   9,404/14,644 = 14,644/x
3. Step 3: Cross multiply
   9,404x = 14,644 × 14,644
4. Step 4: Simplify right side
   9,404x = 214,446,736
5. Step 5: Solve for x
   x = 214,446,736/9,404
6. Step 6: Final answer
   x = 22,803.78