Finding the Third Proportional to 771.94 and 1,164.56

Step by Step Solution

1. Step 1: Write the proportion equation
   771.94 : 1,164.56 = 1,164.56 : x
2. Step 2: Convert to fraction form
   771.94/1,164.56 = 1,164.56/x
3. Step 3: Cross multiply
   771.94x = 1,164.56 × 1,164.56
4. Step 4: Simplify right side
   771.94x = 1,356,205.82
5. Step 5: Solve for x
   x = 1,356,205.82/771.94
6. Step 6: Final answer
   x = 1,756.89