Finding the Third Proportional to 2,961.98 and 3,974.70

Step by Step Solution

1. Step 1: Write the proportion equation
   2,961.98 : 3,974.70 = 3,974.70 : x
2. Step 2: Convert to fraction form
   2,961.98/3,974.70 = 3,974.70/x
3. Step 3: Cross multiply
   2,961.98x = 3,974.70 × 3,974.70
4. Step 4: Simplify right side
   2,961.98x = 15,798,202.83
5. Step 5: Solve for x
   x = 15,798,202.83/2,961.98
6. Step 6: Final answer
   x = 5,333.66