Finding the Third Proportional to 11,857.50 and 17,755

Step by Step Solution

1. Step 1: Write the proportion equation
   11,857.50 : 17,755 = 17,755 : x
2. Step 2: Convert to fraction form
   11,857.50/17,755 = 17,755/x
3. Step 3: Cross multiply
   11,857.50x = 17,755 × 17,755
4. Step 4: Simplify right side
   11,857.50x = 315,240,025
5. Step 5: Solve for x
   x = 315,240,025/11,857.50
6. Step 6: Final answer
   x = 26,585.71