Finding the Third Proportional to 553.69 and 829.31

Step by Step Solution

1. Step 1: Write the proportion equation
   553.69 : 829.31 = 829.31 : x
2. Step 2: Convert to fraction form
   553.69/829.31 = 829.31/x
3. Step 3: Cross multiply
   553.69x = 829.31 × 829.31
4. Step 4: Simplify right side
   553.69x = 687,759.22
5. Step 5: Solve for x
   x = 687,759.22/553.69
6. Step 6: Final answer
   x = 1,242.14