Finding the Third Proportional to 2,786.25 and 4,589.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,786.25 : 4,589.25 = 4,589.25 : x
2. Step 2: Convert to fraction form
   2,786.25/4,589.25 = 4,589.25/x
3. Step 3: Cross multiply
   2,786.25x = 4,589.25 × 4,589.25
4. Step 4: Simplify right side
   2,786.25x = 21,061,215.56
5. Step 5: Solve for x
   x = 21,061,215.56/2,786.25
6. Step 6: Final answer
   x = 7,558.98