Finding the Third Proportional to 766.50 and 1,549

Step by Step Solution

1. Step 1: Write the proportion equation
   766.50 : 1,549 = 1,549 : x
2. Step 2: Convert to fraction form
   766.50/1,549 = 1,549/x
3. Step 3: Cross multiply
   766.50x = 1,549 × 1,549
4. Step 4: Simplify right side
   766.50x = 2,399,401
5. Step 5: Solve for x
   x = 2,399,401/766.50
6. Step 6: Final answer
   x = 3,130.33