Finding the Third Proportional to 2,570.33 and 5,631.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,570.33 : 5,631.56 = 5,631.56 : x
2. Step 2: Convert to fraction form
   2,570.33/5,631.56 = 5,631.56/x
3. Step 3: Cross multiply
   2,570.33x = 5,631.56 × 5,631.56
4. Step 4: Simplify right side
   2,570.33x = 31,714,430.20
5. Step 5: Solve for x
   x = 31,714,430.20/2,570.33
6. Step 6: Final answer
   x = 12,338.68