Finding the Third Proportional to 349.31 and 766.69

Step by Step Solution

1. Step 1: Write the proportion equation
   349.31 : 766.69 = 766.69 : x
2. Step 2: Convert to fraction form
   349.31/766.69 = 766.69/x
3. Step 3: Cross multiply
   349.31x = 766.69 × 766.69
4. Step 4: Simplify right side
   349.31x = 587,809.72
5. Step 5: Solve for x
   x = 587,809.72/349.31
6. Step 6: Final answer
   x = 1,682.76