Finding the Third Proportional to 1,606 and 1,742

Step by Step Solution

1. Step 1: Write the proportion equation
   1,606 : 1,742 = 1,742 : x
2. Step 2: Convert to fraction form
   1,606/1,742 = 1,742/x
3. Step 3: Cross multiply
   1,606x = 1,742 × 1,742
4. Step 4: Simplify right side
   1,606x = 3,034,564
5. Step 5: Solve for x
   x = 3,034,564/1,606
6. Step 6: Final answer
   x = 1,889.52