Finding the Third Proportional to 9,829.69 and 14,751.28

Step by Step Solution

1. Step 1: Write the proportion equation
   9,829.69 : 14,751.28 = 14,751.28 : x
2. Step 2: Convert to fraction form
   9,829.69/14,751.28 = 14,751.28/x
3. Step 3: Cross multiply
   9,829.69x = 14,751.28 × 14,751.28
4. Step 4: Simplify right side
   9,829.69x = 217,600,298.52
5. Step 5: Solve for x
   x = 217,600,298.52/9,829.69
6. Step 6: Final answer
   x = 22,137.05