Finding the Third Proportional to 1,002 and 1,378

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002 : 1,378 = 1,378 : x
2. Step 2: Convert to fraction form
   1,002/1,378 = 1,378/x
3. Step 3: Cross multiply
   1,002x = 1,378 × 1,378
4. Step 4: Simplify right side
   1,002x = 1,898,884
5. Step 5: Solve for x
   x = 1,898,884/1,002
6. Step 6: Final answer
   x = 1,895.09