Finding the Third Proportional to 2,086.25 and 4,493.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,086.25 : 4,493.25 = 4,493.25 : x
2. Step 2: Convert to fraction form
   2,086.25/4,493.25 = 4,493.25/x
3. Step 3: Cross multiply
   2,086.25x = 4,493.25 × 4,493.25
4. Step 4: Simplify right side
   2,086.25x = 20,189,295.56
5. Step 5: Solve for x
   x = 20,189,295.56/2,086.25
6. Step 6: Final answer
   x = 9,677.31