Finding the Third Proportional to 1,682 and 1,898

Step by Step Solution

1. Step 1: Write the proportion equation
   1,682 : 1,898 = 1,898 : x
2. Step 2: Convert to fraction form
   1,682/1,898 = 1,898/x
3. Step 3: Cross multiply
   1,682x = 1,898 × 1,898
4. Step 4: Simplify right side
   1,682x = 3,602,404
5. Step 5: Solve for x
   x = 3,602,404/1,682
6. Step 6: Final answer
   x = 2,141.74