Finding the Third Proportional to 11,584.69 and 17,323.88

Step by Step Solution

1. Step 1: Write the proportion equation
   11,584.69 : 17,323.88 = 17,323.88 : x
2. Step 2: Convert to fraction form
   11,584.69/17,323.88 = 17,323.88/x
3. Step 3: Cross multiply
   11,584.69x = 17,323.88 × 17,323.88
4. Step 4: Simplify right side
   11,584.69x = 300,116,645.02
5. Step 5: Solve for x
   x = 300,116,645.02/11,584.69
6. Step 6: Final answer
   x = 25,906.32