Finding the Third Proportional to 1,606 and 1,844

Step by Step Solution

1. Step 1: Write the proportion equation
   1,606 : 1,844 = 1,844 : x
2. Step 2: Convert to fraction form
   1,606/1,844 = 1,844/x
3. Step 3: Cross multiply
   1,606x = 1,844 × 1,844
4. Step 4: Simplify right side
   1,606x = 3,400,336
5. Step 5: Solve for x
   x = 3,400,336/1,606
6. Step 6: Final answer
   x = 2,117.27