Finding the Third Proportional to 1,002 and 1,476

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002 : 1,476 = 1,476 : x
2. Step 2: Convert to fraction form
   1,002/1,476 = 1,476/x
3. Step 3: Cross multiply
   1,002x = 1,476 × 1,476
4. Step 4: Simplify right side
   1,002x = 2,178,576
5. Step 5: Solve for x
   x = 2,178,576/1,002
6. Step 6: Final answer
   x = 2,174.23