Finding the Third Proportional to 771 and 1,570.69

Step by Step Solution

1. Step 1: Write the proportion equation
   771 : 1,570.69 = 1,570.69 : x
2. Step 2: Convert to fraction form
   771/1,570.69 = 1,570.69/x
3. Step 3: Cross multiply
   771x = 1,570.69 × 1,570.69
4. Step 4: Simplify right side
   771x = 2,467,059.22
5. Step 5: Solve for x
   x = 2,467,059.22/771
6. Step 6: Final answer
   x = 3,199.82