Finding the Third Proportional to 2,477.25 and 3,921.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,477.25 : 3,921.75 = 3,921.75 : x
2. Step 2: Convert to fraction form
   2,477.25/3,921.75 = 3,921.75/x
3. Step 3: Cross multiply
   2,477.25x = 3,921.75 × 3,921.75
4. Step 4: Simplify right side
   2,477.25x = 15,380,123.06
5. Step 5: Solve for x
   x = 15,380,123.06/2,477.25
6. Step 6: Final answer
   x = 6,208.55