Finding the Third Proportional to 2,570.25 and 5,505.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,570.25 : 5,505.38 = 5,505.38 : x
2. Step 2: Convert to fraction form
   2,570.25/5,505.38 = 5,505.38/x
3. Step 3: Cross multiply
   2,570.25x = 5,505.38 × 5,505.38
4. Step 4: Simplify right side
   2,570.25x = 30,309,153.89
5. Step 5: Solve for x
   x = 30,309,153.89/2,570.25
6. Step 6: Final answer
   x = 11,792.30