Finding the Third Proportional to 4,493.25 and 5,928.75

Step by Step Solution

1. Step 1: Write the proportion equation
   4,493.25 : 5,928.75 = 5,928.75 : x
2. Step 2: Convert to fraction form
   4,493.25/5,928.75 = 5,928.75/x
3. Step 3: Cross multiply
   4,493.25x = 5,928.75 × 5,928.75
4. Step 4: Simplify right side
   4,493.25x = 35,150,076.56
5. Step 5: Solve for x
   x = 35,150,076.56/4,493.25
6. Step 6: Final answer
   x = 7,822.86