Finding the Third Proportional to 11,557.69 and 14,329.41

Step by Step Solution

1. Step 1: Write the proportion equation
   11,557.69 : 14,329.41 = 14,329.41 : x
2. Step 2: Convert to fraction form
   11,557.69/14,329.41 = 14,329.41/x
3. Step 3: Cross multiply
   11,557.69x = 14,329.41 × 14,329.41
4. Step 4: Simplify right side
   11,557.69x = 205,331,883.48
5. Step 5: Solve for x
   x = 205,331,883.48/11,557.69
6. Step 6: Final answer
   x = 17,765.83