Finding the Third Proportional to 11,940 and 17,545.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,940 : 17,545.50 = 17,545.50 : x
2. Step 2: Convert to fraction form
   11,940/17,545.50 = 17,545.50/x
3. Step 3: Cross multiply
   11,940x = 17,545.50 × 17,545.50
4. Step 4: Simplify right side
   11,940x = 307,844,570.25
5. Step 5: Solve for x
   x = 307,844,570.25/11,940
6. Step 6: Final answer
   x = 25,782.63