Finding the Third Proportional to 9,597 and 14,628

Step by Step Solution

1. Step 1: Write the proportion equation
   9,597 : 14,628 = 14,628 : x
2. Step 2: Convert to fraction form
   9,597/14,628 = 14,628/x
3. Step 3: Cross multiply
   9,597x = 14,628 × 14,628
4. Step 4: Simplify right side
   9,597x = 213,978,384
5. Step 5: Solve for x
   x = 213,978,384/9,597
6. Step 6: Final answer
   x = 22,296.38