Finding the Third Proportional to 772.75 and 1,150.38

Step by Step Solution

1. Step 1: Write the proportion equation
   772.75 : 1,150.38 = 1,150.38 : x
2. Step 2: Convert to fraction form
   772.75/1,150.38 = 1,150.38/x
3. Step 3: Cross multiply
   772.75x = 1,150.38 × 1,150.38
4. Step 4: Simplify right side
   772.75x = 1,323,362.64
5. Step 5: Solve for x
   x = 1,323,362.64/772.75
6. Step 6: Final answer
   x = 1,712.54