Finding the Third Proportional to 2,585.25 and 5,069.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.25 : 5,069.25 = 5,069.25 : x
2. Step 2: Convert to fraction form
   2,585.25/5,069.25 = 5,069.25/x
3. Step 3: Cross multiply
   2,585.25x = 5,069.25 × 5,069.25
4. Step 4: Simplify right side
   2,585.25x = 25,697,295.56
5. Step 5: Solve for x
   x = 25,697,295.56/2,585.25
6. Step 6: Final answer
   x = 9,939.97