Finding the Third Proportional to 2,469.75 and 5,383.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,469.75 : 5,383.31 = 5,383.31 : x
2. Step 2: Convert to fraction form
   2,469.75/5,383.31 = 5,383.31/x
3. Step 3: Cross multiply
   2,469.75x = 5,383.31 × 5,383.31
4. Step 4: Simplify right side
   2,469.75x = 28,980,053.47
5. Step 5: Solve for x
   x = 28,980,053.47/2,469.75
6. Step 6: Final answer
   x = 11,734.00