Finding the Third Proportional to 696.50 and 1,078

Step by Step Solution

1. Step 1: Write the proportion equation
   696.50 : 1,078 = 1,078 : x
2. Step 2: Convert to fraction form
   696.50/1,078 = 1,078/x
3. Step 3: Cross multiply
   696.50x = 1,078 × 1,078
4. Step 4: Simplify right side
   696.50x = 1,162,084
5. Step 5: Solve for x
   x = 1,162,084/696.50
6. Step 6: Final answer
   x = 1,668.46