Finding the Third Proportional to 3,518.50 and 3,829

Step by Step Solution

1. Step 1: Write the proportion equation
   3,518.50 : 3,829 = 3,829 : x
2. Step 2: Convert to fraction form
   3,518.50/3,829 = 3,829/x
3. Step 3: Cross multiply
   3,518.50x = 3,829 × 3,829
4. Step 4: Simplify right side
   3,518.50x = 14,661,241
5. Step 5: Solve for x
   x = 14,661,241/3,518.50
6. Step 6: Final answer
   x = 4,166.90