Finding the Third Proportional to 2,824.50 and 3,162

Step by Step Solution

1. Step 1: Write the proportion equation
   2,824.50 : 3,162 = 3,162 : x
2. Step 2: Convert to fraction form
   2,824.50/3,162 = 3,162/x
3. Step 3: Cross multiply
   2,824.50x = 3,162 × 3,162
4. Step 4: Simplify right side
   2,824.50x = 9,998,244
5. Step 5: Solve for x
   x = 9,998,244/2,824.50
6. Step 6: Final answer
   x = 3,539.83