Finding the Third Proportional to 767.50 and 1,570

Step by Step Solution

1. Step 1: Write the proportion equation
   767.50 : 1,570 = 1,570 : x
2. Step 2: Convert to fraction form
   767.50/1,570 = 1,570/x
3. Step 3: Cross multiply
   767.50x = 1,570 × 1,570
4. Step 4: Simplify right side
   767.50x = 2,464,900
5. Step 5: Solve for x
   x = 2,464,900/767.50
6. Step 6: Final answer
   x = 3,211.60