Finding the Third Proportional to 2,570.06 and 4,412.81

Step by Step Solution

1. Step 1: Write the proportion equation
   2,570.06 : 4,412.81 = 4,412.81 : x
2. Step 2: Convert to fraction form
   2,570.06/4,412.81 = 4,412.81/x
3. Step 3: Cross multiply
   2,570.06x = 4,412.81 × 4,412.81
4. Step 4: Simplify right side
   2,570.06x = 19,472,914.16
5. Step 5: Solve for x
   x = 19,472,914.16/2,570.06
6. Step 6: Final answer
   x = 7,576.83