Finding the Third Proportional to 1,142 and 1,640

Step by Step Solution

1. Step 1: Write the proportion equation
   1,142 : 1,640 = 1,640 : x
2. Step 2: Convert to fraction form
   1,142/1,640 = 1,640/x
3. Step 3: Cross multiply
   1,142x = 1,640 × 1,640
4. Step 4: Simplify right side
   1,142x = 2,689,600
5. Step 5: Solve for x
   x = 2,689,600/1,142
6. Step 6: Final answer
   x = 2,355.17