Finding the Third Proportional to 11,575.50 and 17,843.75

Step by Step Solution

1. Step 1: Write the proportion equation
   11,575.50 : 17,843.75 = 17,843.75 : x
2. Step 2: Convert to fraction form
   11,575.50/17,843.75 = 17,843.75/x
3. Step 3: Cross multiply
   11,575.50x = 17,843.75 × 17,843.75
4. Step 4: Simplify right side
   11,575.50x = 318,399,414.06
5. Step 5: Solve for x
   x = 318,399,414.06/11,575.50
6. Step 6: Final answer
   x = 27,506.32