Finding the Third Proportional to 1,042 and 1,665

Step by Step Solution

1. Step 1: Write the proportion equation
   1,042 : 1,665 = 1,665 : x
2. Step 2: Convert to fraction form
   1,042/1,665 = 1,665/x
3. Step 3: Cross multiply
   1,042x = 1,665 × 1,665
4. Step 4: Simplify right side
   1,042x = 2,772,225
5. Step 5: Solve for x
   x = 2,772,225/1,042
6. Step 6: Final answer
   x = 2,660.48