Finding the Third Proportional to 11,865.50 and 17,186.25

Step by Step Solution

1. Step 1: Write the proportion equation
   11,865.50 : 17,186.25 = 17,186.25 : x
2. Step 2: Convert to fraction form
   11,865.50/17,186.25 = 17,186.25/x
3. Step 3: Cross multiply
   11,865.50x = 17,186.25 × 17,186.25
4. Step 4: Simplify right side
   11,865.50x = 295,367,189.06
5. Step 5: Solve for x
   x = 295,367,189.06/11,865.50
6. Step 6: Final answer
   x = 24,892.94