Finding the Third Proportional to 762.94 and 1,020.56

Step by Step Solution

1. Step 1: Write the proportion equation
   762.94 : 1,020.56 = 1,020.56 : x
2. Step 2: Convert to fraction form
   762.94/1,020.56 = 1,020.56/x
3. Step 3: Cross multiply
   762.94x = 1,020.56 × 1,020.56
4. Step 4: Simplify right side
   762.94x = 1,041,547.82
5. Step 5: Solve for x
   x = 1,041,547.82/762.94
6. Step 6: Final answer
   x = 1,365.18