Finding the Third Proportional to 4,298.25 and 5,799.38

Step by Step Solution

1. Step 1: Write the proportion equation
   4,298.25 : 5,799.38 = 5,799.38 : x
2. Step 2: Convert to fraction form
   4,298.25/5,799.38 = 5,799.38/x
3. Step 3: Cross multiply
   4,298.25x = 5,799.38 × 5,799.38
4. Step 4: Simplify right side
   4,298.25x = 33,632,750.39
5. Step 5: Solve for x
   x = 33,632,750.39/4,298.25
6. Step 6: Final answer
   x = 7,824.75