Finding the Third Proportional to 5,873.25 and 8,589.38

Step by Step Solution

1. Step 1: Write the proportion equation
   5,873.25 : 8,589.38 = 8,589.38 : x
2. Step 2: Convert to fraction form
   5,873.25/8,589.38 = 8,589.38/x
3. Step 3: Cross multiply
   5,873.25x = 8,589.38 × 8,589.38
4. Step 4: Simplify right side
   5,873.25x = 73,777,362.89
5. Step 5: Solve for x
   x = 73,777,362.89/5,873.25
6. Step 6: Final answer
   x = 12,561.59