Finding the Third Proportional to 1,646 and 1,826

Step by Step Solution

1. Step 1: Write the proportion equation
   1,646 : 1,826 = 1,826 : x
2. Step 2: Convert to fraction form
   1,646/1,826 = 1,826/x
3. Step 3: Cross multiply
   1,646x = 1,826 × 1,826
4. Step 4: Simplify right side
   1,646x = 3,334,276
5. Step 5: Solve for x
   x = 3,334,276/1,646
6. Step 6: Final answer
   x = 2,025.68