Finding the Third Proportional to 2,832.90 and 3,982.30

Step by Step Solution

1. Step 1: Write the proportion equation
   2,832.90 : 3,982.30 = 3,982.30 : x
2. Step 2: Convert to fraction form
   2,832.90/3,982.30 = 3,982.30/x
3. Step 3: Cross multiply
   2,832.90x = 3,982.30 × 3,982.30
4. Step 4: Simplify right side
   2,832.90x = 15,858,719.51
5. Step 5: Solve for x
   x = 15,858,719.51/2,832.90
6. Step 6: Final answer
   x = 5,598.05