Finding the Third Proportional to 4,429.69 and 9,586.69

Step by Step Solution

1. Step 1: Write the proportion equation
   4,429.69 : 9,586.69 = 9,586.69 : x
2. Step 2: Convert to fraction form
   4,429.69/9,586.69 = 9,586.69/x
3. Step 3: Cross multiply
   4,429.69x = 9,586.69 × 9,586.69
4. Step 4: Simplify right side
   4,429.69x = 91,904,577.22
5. Step 5: Solve for x
   x = 91,904,577.22/4,429.69
6. Step 6: Final answer
   x = 20,747.42