Finding the Third Proportional to 1,240 and 1,418

Step by Step Solution

1. Step 1: Write the proportion equation
   1,240 : 1,418 = 1,418 : x
2. Step 2: Convert to fraction form
   1,240/1,418 = 1,418/x
3. Step 3: Cross multiply
   1,240x = 1,418 × 1,418
4. Step 4: Simplify right side
   1,240x = 2,010,724
5. Step 5: Solve for x
   x = 2,010,724/1,240
6. Step 6: Final answer
   x = 1,621.55