Finding the Third Proportional to 9,577.69 and 14,379.61

Step by Step Solution

1. Step 1: Write the proportion equation
   9,577.69 : 14,379.61 = 14,379.61 : x
2. Step 2: Convert to fraction form
   9,577.69/14,379.61 = 14,379.61/x
3. Step 3: Cross multiply
   9,577.69x = 14,379.61 × 14,379.61
4. Step 4: Simplify right side
   9,577.69x = 206,773,165.78
5. Step 5: Solve for x
   x = 206,773,165.78/9,577.69
6. Step 6: Final answer
   x = 21,589.05