Finding the Third Proportional to 773.50 and 1,508

Step by Step Solution

1. Step 1: Write the proportion equation
   773.50 : 1,508 = 1,508 : x
2. Step 2: Convert to fraction form
   773.50/1,508 = 1,508/x
3. Step 3: Cross multiply
   773.50x = 1,508 × 1,508
4. Step 4: Simplify right side
   773.50x = 2,274,064
5. Step 5: Solve for x
   x = 2,274,064/773.50
6. Step 6: Final answer
   x = 2,939.97