Finding the Third Proportional to 783.94 and 1,040.69

Step by Step Solution

1. Step 1: Write the proportion equation
   783.94 : 1,040.69 = 1,040.69 : x
2. Step 2: Convert to fraction form
   783.94/1,040.69 = 1,040.69/x
3. Step 3: Cross multiply
   783.94x = 1,040.69 × 1,040.69
4. Step 4: Simplify right side
   783.94x = 1,083,030.47
5. Step 5: Solve for x
   x = 1,083,030.47/783.94
6. Step 6: Final answer
   x = 1,381.53