Finding the Third Proportional to 2,464.17 and 5,475.09

Step by Step Solution

1. Step 1: Write the proportion equation
   2,464.17 : 5,475.09 = 5,475.09 : x
2. Step 2: Convert to fraction form
   2,464.17/5,475.09 = 5,475.09/x
3. Step 3: Cross multiply
   2,464.17x = 5,475.09 × 5,475.09
4. Step 4: Simplify right side
   2,464.17x = 29,976,651.57
5. Step 5: Solve for x
   x = 29,976,651.57/2,464.17
6. Step 6: Final answer
   x = 12,165.00