Finding the Third Proportional to 657.84 and 1,069.31

Step by Step Solution

1. Step 1: Write the proportion equation
   657.84 : 1,069.31 = 1,069.31 : x
2. Step 2: Convert to fraction form
   657.84/1,069.31 = 1,069.31/x
3. Step 3: Cross multiply
   657.84x = 1,069.31 × 1,069.31
4. Step 4: Simplify right side
   657.84x = 1,143,429.22
5. Step 5: Solve for x
   x = 1,143,429.22/657.84
6. Step 6: Final answer
   x = 1,738.15