Finding the Third Proportional to 1,362 and 1,952

Step by Step Solution

1. Step 1: Write the proportion equation
   1,362 : 1,952 = 1,952 : x
2. Step 2: Convert to fraction form
   1,362/1,952 = 1,952/x
3. Step 3: Cross multiply
   1,362x = 1,952 × 1,952
4. Step 4: Simplify right side
   1,362x = 3,810,304
5. Step 5: Solve for x
   x = 3,810,304/1,362
6. Step 6: Final answer
   x = 2,797.58