Finding the Third Proportional to 1,690 and 1,826

Step by Step Solution

1. Step 1: Write the proportion equation
   1,690 : 1,826 = 1,826 : x
2. Step 2: Convert to fraction form
   1,690/1,826 = 1,826/x
3. Step 3: Cross multiply
   1,690x = 1,826 × 1,826
4. Step 4: Simplify right side
   1,690x = 3,334,276
5. Step 5: Solve for x
   x = 3,334,276/1,690
6. Step 6: Final answer
   x = 1,972.94