Finding the Third Proportional to 11,557.69 and 17,289.07

Step by Step Solution

1. Step 1: Write the proportion equation
   11,557.69 : 17,289.07 = 17,289.07 : x
2. Step 2: Convert to fraction form
   11,557.69/17,289.07 = 17,289.07/x
3. Step 3: Cross multiply
   11,557.69x = 17,289.07 × 17,289.07
4. Step 4: Simplify right side
   11,557.69x = 298,911,952.27
5. Step 5: Solve for x
   x = 298,911,952.27/11,557.69
6. Step 6: Final answer
   x = 25,862.61