Finding the Third Proportional to 1,340 and 1,962

Step by Step Solution

1. Step 1: Write the proportion equation
   1,340 : 1,962 = 1,962 : x
2. Step 2: Convert to fraction form
   1,340/1,962 = 1,962/x
3. Step 3: Cross multiply
   1,340x = 1,962 × 1,962
4. Step 4: Simplify right side
   1,340x = 3,849,444
5. Step 5: Solve for x
   x = 3,849,444/1,340
6. Step 6: Final answer
   x = 2,872.72