Finding the Third Proportional to 766.55 and 1,593.42

Step by Step Solution

1. Step 1: Write the proportion equation
   766.55 : 1,593.42 = 1,593.42 : x
2. Step 2: Convert to fraction form
   766.55/1,593.42 = 1,593.42/x
3. Step 3: Cross multiply
   766.55x = 1,593.42 × 1,593.42
4. Step 4: Simplify right side
   766.55x = 2,538,993.27
5. Step 5: Solve for x
   x = 2,538,993.27/766.55
6. Step 6: Final answer
   x = 3,312.25