Finding the Third Proportional to 1,606 and 2,030

Step by Step Solution

1. Step 1: Write the proportion equation
   1,606 : 2,030 = 2,030 : x
2. Step 2: Convert to fraction form
   1,606/2,030 = 2,030/x
3. Step 3: Cross multiply
   1,606x = 2,030 × 2,030
4. Step 4: Simplify right side
   1,606x = 4,120,900
5. Step 5: Solve for x
   x = 4,120,900/1,606
6. Step 6: Final answer
   x = 2,565.94