Finding the Third Proportional to 1,582 and 1,802

Step by Step Solution

1. Step 1: Write the proportion equation
   1,582 : 1,802 = 1,802 : x
2. Step 2: Convert to fraction form
   1,582/1,802 = 1,802/x
3. Step 3: Cross multiply
   1,582x = 1,802 × 1,802
4. Step 4: Simplify right side
   1,582x = 3,247,204
5. Step 5: Solve for x
   x = 3,247,204/1,582
6. Step 6: Final answer
   x = 2,052.59