Finding the Third Proportional to 11,497.50 and 17,755.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,497.50 : 17,755.50 = 17,755.50 : x
2. Step 2: Convert to fraction form
   11,497.50/17,755.50 = 17,755.50/x
3. Step 3: Cross multiply
   11,497.50x = 17,755.50 × 17,755.50
4. Step 4: Simplify right side
   11,497.50x = 315,257,780.25
5. Step 5: Solve for x
   x = 315,257,780.25/11,497.50
6. Step 6: Final answer
   x = 27,419.68