Finding the Third Proportional to 2,606 and 4,142

Step by Step Solution

1. Step 1: Write the proportion equation
   2,606 : 4,142 = 4,142 : x
2. Step 2: Convert to fraction form
   2,606/4,142 = 4,142/x
3. Step 3: Cross multiply
   2,606x = 4,142 × 4,142
4. Step 4: Simplify right side
   2,606x = 17,156,164
5. Step 5: Solve for x
   x = 17,156,164/2,606
6. Step 6: Final answer
   x = 6,583.33