Finding the Third Proportional to 551.94 and 773.59

Step by Step Solution

1. Step 1: Write the proportion equation
   551.94 : 773.59 = 773.59 : x
2. Step 2: Convert to fraction form
   551.94/773.59 = 773.59/x
3. Step 3: Cross multiply
   551.94x = 773.59 × 773.59
4. Step 4: Simplify right side
   551.94x = 598,447.29
5. Step 5: Solve for x
   x = 598,447.29/551.94
6. Step 6: Final answer
   x = 1,084.27