Finding the Third Proportional to 2,578 and 3,558

Step by Step Solution

1. Step 1: Write the proportion equation
   2,578 : 3,558 = 3,558 : x
2. Step 2: Convert to fraction form
   2,578/3,558 = 3,558/x
3. Step 3: Cross multiply
   2,578x = 3,558 × 3,558
4. Step 4: Simplify right side
   2,578x = 12,659,364
5. Step 5: Solve for x
   x = 12,659,364/2,578
6. Step 6: Final answer
   x = 4,910.54