Finding the Third Proportional to 9,636 and 14,530

Step by Step Solution

1. Step 1: Write the proportion equation
   9,636 : 14,530 = 14,530 : x
2. Step 2: Convert to fraction form
   9,636/14,530 = 14,530/x
3. Step 3: Cross multiply
   9,636x = 14,530 × 14,530
4. Step 4: Simplify right side
   9,636x = 211,120,900
5. Step 5: Solve for x
   x = 211,120,900/9,636
6. Step 6: Final answer
   x = 21,909.60