Finding the Third Proportional to 715.50 and 1,020.94

Step by Step Solution

1. Step 1: Write the proportion equation
   715.50 : 1,020.94 = 1,020.94 : x
2. Step 2: Convert to fraction form
   715.50/1,020.94 = 1,020.94/x
3. Step 3: Cross multiply
   715.50x = 1,020.94 × 1,020.94
4. Step 4: Simplify right side
   715.50x = 1,042,313.38
5. Step 5: Solve for x
   x = 1,042,313.38/715.50
6. Step 6: Final answer
   x = 1,456.76