Finding the Third Proportional to 3,540 and 7,558

Step by Step Solution

1. Step 1: Write the proportion equation
   3,540 : 7,558 = 7,558 : x
2. Step 2: Convert to fraction form
   3,540/7,558 = 7,558/x
3. Step 3: Cross multiply
   3,540x = 7,558 × 7,558
4. Step 4: Simplify right side
   3,540x = 57,123,364
5. Step 5: Solve for x
   x = 57,123,364/3,540
6. Step 6: Final answer
   x = 16,136.54