Finding the Third Proportional to 1,536 and 2,298

Step by Step Solution

1. Step 1: Write the proportion equation
   1,536 : 2,298 = 2,298 : x
2. Step 2: Convert to fraction form
   1,536/2,298 = 2,298/x
3. Step 3: Cross multiply
   1,536x = 2,298 × 2,298
4. Step 4: Simplify right side
   1,536x = 5,280,804
5. Step 5: Solve for x
   x = 5,280,804/1,536
6. Step 6: Final answer
   x = 3,438.02