Finding the Third Proportional to 2,353.50 and 3,138

Step by Step Solution

1. Step 1: Write the proportion equation
   2,353.50 : 3,138 = 3,138 : x
2. Step 2: Convert to fraction form
   2,353.50/3,138 = 3,138/x
3. Step 3: Cross multiply
   2,353.50x = 3,138 × 3,138
4. Step 4: Simplify right side
   2,353.50x = 9,847,044
5. Step 5: Solve for x
   x = 9,847,044/2,353.50
6. Step 6: Final answer
   x = 4,184