Finding the Third Proportional to 11,857.50 and 17,755.88

Step by Step Solution

1. Step 1: Write the proportion equation
   11,857.50 : 17,755.88 = 17,755.88 : x
2. Step 2: Convert to fraction form
   11,857.50/17,755.88 = 17,755.88/x
3. Step 3: Cross multiply
   11,857.50x = 17,755.88 × 17,755.88
4. Step 4: Simplify right side
   11,857.50x = 315,271,097.02
5. Step 5: Solve for x
   x = 315,271,097.02/11,857.50
6. Step 6: Final answer
   x = 26,588.33