Finding the Third Proportional to 677.25 and 1,072.69

Step by Step Solution

1. Step 1: Write the proportion equation
   677.25 : 1,072.69 = 1,072.69 : x
2. Step 2: Convert to fraction form
   677.25/1,072.69 = 1,072.69/x
3. Step 3: Cross multiply
   677.25x = 1,072.69 × 1,072.69
4. Step 4: Simplify right side
   677.25x = 1,150,658.47
5. Step 5: Solve for x
   x = 1,150,658.47/677.25
6. Step 6: Final answer
   x = 1,699.02