Finding the Third Proportional to 2,298 and 5,325

Step by Step Solution

1. Step 1: Write the proportion equation
   2,298 : 5,325 = 5,325 : x
2. Step 2: Convert to fraction form
   2,298/5,325 = 5,325/x
3. Step 3: Cross multiply
   2,298x = 5,325 × 5,325
4. Step 4: Simplify right side
   2,298x = 28,355,625
5. Step 5: Solve for x
   x = 28,355,625/2,298
6. Step 6: Final answer
   x = 12,339.26