Finding the Third Proportional to 682.31 and 733.69

Step by Step Solution

1. Step 1: Write the proportion equation
   682.31 : 733.69 = 733.69 : x
2. Step 2: Convert to fraction form
   682.31/733.69 = 733.69/x
3. Step 3: Cross multiply
   682.31x = 733.69 × 733.69
4. Step 4: Simplify right side
   682.31x = 538,297.35
5. Step 5: Solve for x
   x = 538,297.35/682.31
6. Step 6: Final answer
   x = 788.93