Finding the Third Proportional to 2,833.25 and 4,682.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,833.25 : 4,682.38 = 4,682.38 : x
2. Step 2: Convert to fraction form
   2,833.25/4,682.38 = 4,682.38/x
3. Step 3: Cross multiply
   2,833.25x = 4,682.38 × 4,682.38
4. Step 4: Simplify right side
   2,833.25x = 21,924,635.64
5. Step 5: Solve for x
   x = 21,924,635.64/2,833.25
6. Step 6: Final answer
   x = 7,738.33