Finding the Third Proportional to 11,857 and 17,754.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,857 : 17,754.50 = 17,754.50 : x
2. Step 2: Convert to fraction form
   11,857/17,754.50 = 17,754.50/x
3. Step 3: Cross multiply
   11,857x = 17,754.50 × 17,754.50
4. Step 4: Simplify right side
   11,857x = 315,222,270.25
5. Step 5: Solve for x
   x = 315,222,270.25/11,857
6. Step 6: Final answer
   x = 26,585.33