Finding the Third Proportional to 11,584.27 and 17,518.78

Step by Step Solution

1. Step 1: Write the proportion equation
   11,584.27 : 17,518.78 = 17,518.78 : x
2. Step 2: Convert to fraction form
   11,584.27/17,518.78 = 17,518.78/x
3. Step 3: Cross multiply
   11,584.27x = 17,518.78 × 17,518.78
4. Step 4: Simplify right side
   11,584.27x = 306,907,696.49
5. Step 5: Solve for x
   x = 306,907,696.49/11,584.27
6. Step 6: Final answer
   x = 26,493.50