Finding the Third Proportional to 1,034 and 1,314

Step by Step Solution

1. Step 1: Write the proportion equation
   1,034 : 1,314 = 1,314 : x
2. Step 2: Convert to fraction form
   1,034/1,314 = 1,314/x
3. Step 3: Cross multiply
   1,034x = 1,314 × 1,314
4. Step 4: Simplify right side
   1,034x = 1,726,596
5. Step 5: Solve for x
   x = 1,726,596/1,034
6. Step 6: Final answer
   x = 1,669.82