Finding the Third Proportional to 963.98 and 1,377.42

Step by Step Solution

1. Step 1: Write the proportion equation
   963.98 : 1,377.42 = 1,377.42 : x
2. Step 2: Convert to fraction form
   963.98/1,377.42 = 1,377.42/x
3. Step 3: Cross multiply
   963.98x = 1,377.42 × 1,377.42
4. Step 4: Simplify right side
   963.98x = 1,897,291.02
5. Step 5: Solve for x
   x = 1,897,291.02/963.98
6. Step 6: Final answer
   x = 1,968.18