Finding the Third Proportional to 2,233.50 and 5,175.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,233.50 : 5,175.75 = 5,175.75 : x
2. Step 2: Convert to fraction form
   2,233.50/5,175.75 = 5,175.75/x
3. Step 3: Cross multiply
   2,233.50x = 5,175.75 × 5,175.75
4. Step 4: Simplify right side
   2,233.50x = 26,788,388.06
5. Step 5: Solve for x
   x = 26,788,388.06/2,233.50
6. Step 6: Final answer
   x = 11,993.91