Finding the Third Proportional to 11,590 and 17,440.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,590 : 17,440.50 = 17,440.50 : x
2. Step 2: Convert to fraction form
   11,590/17,440.50 = 17,440.50/x
3. Step 3: Cross multiply
   11,590x = 17,440.50 × 17,440.50
4. Step 4: Simplify right side
   11,590x = 304,171,040.25
5. Step 5: Solve for x
   x = 304,171,040.25/11,590
6. Step 6: Final answer
   x = 26,244.27