Finding the Third Proportional to 2,464.25 and 5,475.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,464.25 : 5,475.25 = 5,475.25 : x
2. Step 2: Convert to fraction form
   2,464.25/5,475.25 = 5,475.25/x
3. Step 3: Cross multiply
   2,464.25x = 5,475.25 × 5,475.25
4. Step 4: Simplify right side
   2,464.25x = 29,978,362.56
5. Step 5: Solve for x
   x = 29,978,362.56/2,464.25
6. Step 6: Final answer
   x = 12,165.31