Finding the Third Proportional to 1,004 and 1,410

Step by Step Solution

1. Step 1: Write the proportion equation
   1,004 : 1,410 = 1,410 : x
2. Step 2: Convert to fraction form
   1,004/1,410 = 1,410/x
3. Step 3: Cross multiply
   1,004x = 1,410 × 1,410
4. Step 4: Simplify right side
   1,004x = 1,988,100
5. Step 5: Solve for x
   x = 1,988,100/1,004
6. Step 6: Final answer
   x = 1,980.18