Finding the Third Proportional to 796.69 and 1,570.88

Step by Step Solution

1. Step 1: Write the proportion equation
   796.69 : 1,570.88 = 1,570.88 : x
2. Step 2: Convert to fraction form
   796.69/1,570.88 = 1,570.88/x
3. Step 3: Cross multiply
   796.69x = 1,570.88 × 1,570.88
4. Step 4: Simplify right side
   796.69x = 2,467,648.27
5. Step 5: Solve for x
   x = 2,467,648.27/796.69
6. Step 6: Final answer
   x = 3,097.39