Finding the Third Proportional to 1,582 and 1,788

Step by Step Solution

1. Step 1: Write the proportion equation
   1,582 : 1,788 = 1,788 : x
2. Step 2: Convert to fraction form
   1,582/1,788 = 1,788/x
3. Step 3: Cross multiply
   1,582x = 1,788 × 1,788
4. Step 4: Simplify right side
   1,582x = 3,196,944
5. Step 5: Solve for x
   x = 3,196,944/1,582
6. Step 6: Final answer
   x = 2,020.82