Finding the Third Proportional to 2,298 and 4,839

Step by Step Solution

1. Step 1: Write the proportion equation
   2,298 : 4,839 = 4,839 : x
2. Step 2: Convert to fraction form
   2,298/4,839 = 4,839/x
3. Step 3: Cross multiply
   2,298x = 4,839 × 4,839
4. Step 4: Simplify right side
   2,298x = 23,415,921
5. Step 5: Solve for x
   x = 23,415,921/2,298
6. Step 6: Final answer
   x = 10,189.70