Finding the Third Proportional to 2,654.50 and 3,982.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,654.50 : 3,982.75 = 3,982.75 : x
2. Step 2: Convert to fraction form
   2,654.50/3,982.75 = 3,982.75/x
3. Step 3: Cross multiply
   2,654.50x = 3,982.75 × 3,982.75
4. Step 4: Simplify right side
   2,654.50x = 15,862,297.56
5. Step 5: Solve for x
   x = 15,862,297.56/2,654.50
6. Step 6: Final answer
   x = 5,975.63