Finding the Third Proportional to 772.75 and 772.75

Step by Step Solution

1. Step 1: Write the proportion equation
   772.75 : 772.75 = 772.75 : x
2. Step 2: Convert to fraction form
   772.75/772.75 = 772.75/x
3. Step 3: Cross multiply
   772.75x = 772.75 × 772.75
4. Step 4: Simplify right side
   772.75x = 597,142.56
5. Step 5: Solve for x
   x = 597,142.56/772.75
6. Step 6: Final answer
   x = 772.75