Finding the Third Proportional to 1,185.25 and 2,768.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,185.25 : 2,768.75 = 2,768.75 : x
2. Step 2: Convert to fraction form
   1,185.25/2,768.75 = 2,768.75/x
3. Step 3: Cross multiply
   1,185.25x = 2,768.75 × 2,768.75
4. Step 4: Simplify right side
   1,185.25x = 7,665,976.56
5. Step 5: Solve for x
   x = 7,665,976.56/1,185.25
6. Step 6: Final answer
   x = 6,467.81