Finding the Third Proportional to 2,597.25 and 3,894.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,597.25 : 3,894.75 = 3,894.75 : x
2. Step 2: Convert to fraction form
   2,597.25/3,894.75 = 3,894.75/x
3. Step 3: Cross multiply
   2,597.25x = 3,894.75 × 3,894.75
4. Step 4: Simplify right side
   2,597.25x = 15,169,077.56
5. Step 5: Solve for x
   x = 15,169,077.56/2,597.25
6. Step 6: Final answer
   x = 5,840.44