Finding the Third Proportional to 2,585.25 and 4,009.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.25 : 4,009.50 = 4,009.50 : x
2. Step 2: Convert to fraction form
   2,585.25/4,009.50 = 4,009.50/x
3. Step 3: Cross multiply
   2,585.25x = 4,009.50 × 4,009.50
4. Step 4: Simplify right side
   2,585.25x = 16,076,090.25
5. Step 5: Solve for x
   x = 16,076,090.25/2,585.25
6. Step 6: Final answer
   x = 6,218.39