Finding the Third Proportional to 2,788.25 and 5,758.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,788.25 : 5,758.75 = 5,758.75 : x
2. Step 2: Convert to fraction form
   2,788.25/5,758.75 = 5,758.75/x
3. Step 3: Cross multiply
   2,788.25x = 5,758.75 × 5,758.75
4. Step 4: Simplify right side
   2,788.25x = 33,163,201.56
5. Step 5: Solve for x
   x = 33,163,201.56/2,788.25
6. Step 6: Final answer
   x = 11,893.91