Finding the Third Proportional to 2,520.14 and 5,477.48

Step by Step Solution

1. Step 1: Write the proportion equation
   2,520.14 : 5,477.48 = 5,477.48 : x
2. Step 2: Convert to fraction form
   2,520.14/5,477.48 = 5,477.48/x
3. Step 3: Cross multiply
   2,520.14x = 5,477.48 × 5,477.48
4. Step 4: Simplify right side
   2,520.14x = 30,002,835.08
5. Step 5: Solve for x
   x = 30,002,835.08/2,520.14
6. Step 6: Final answer
   x = 11,905.22