Finding the Third Proportional to 2,653.75 and 5,786.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,653.75 : 5,786.75 = 5,786.75 : x
2. Step 2: Convert to fraction form
   2,653.75/5,786.75 = 5,786.75/x
3. Step 3: Cross multiply
   2,653.75x = 5,786.75 × 5,786.75
4. Step 4: Simplify right side
   2,653.75x = 33,486,475.56
5. Step 5: Solve for x
   x = 33,486,475.56/2,653.75
6. Step 6: Final answer
   x = 12,618.55