Finding the Third Proportional to 11,496.94 and 17,584.59

Step by Step Solution

1. Step 1: Write the proportion equation
   11,496.94 : 17,584.59 = 17,584.59 : x
2. Step 2: Convert to fraction form
   11,496.94/17,584.59 = 17,584.59/x
3. Step 3: Cross multiply
   11,496.94x = 17,584.59 × 17,584.59
4. Step 4: Simplify right side
   11,496.94x = 309,217,937.35
5. Step 5: Solve for x
   x = 309,217,937.35/11,496.94
6. Step 6: Final answer
   x = 26,895.68