Finding the Third Proportional to 1,165.50 and 1,788.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,165.50 : 1,788.75 = 1,788.75 : x
2. Step 2: Convert to fraction form
   1,165.50/1,788.75 = 1,788.75/x
3. Step 3: Cross multiply
   1,165.50x = 1,788.75 × 1,788.75
4. Step 4: Simplify right side
   1,165.50x = 3,199,626.56
5. Step 5: Solve for x
   x = 3,199,626.56/1,165.50
6. Step 6: Final answer
   x = 2,745.28