Finding the Third Proportional to 11,491 and 17,757.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,491 : 17,757.50 = 17,757.50 : x
2. Step 2: Convert to fraction form
   11,491/17,757.50 = 17,757.50/x
3. Step 3: Cross multiply
   11,491x = 17,757.50 × 17,757.50
4. Step 4: Simplify right side
   11,491x = 315,328,806.25
5. Step 5: Solve for x
   x = 315,328,806.25/11,491
6. Step 6: Final answer
   x = 27,441.37