Finding the Third Proportional to 2,689 and 3,841.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,689 : 3,841.50 = 3,841.50 : x
2. Step 2: Convert to fraction form
   2,689/3,841.50 = 3,841.50/x
3. Step 3: Cross multiply
   2,689x = 3,841.50 × 3,841.50
4. Step 4: Simplify right side
   2,689x = 14,757,122.25
5. Step 5: Solve for x
   x = 14,757,122.25/2,689
6. Step 6: Final answer
   x = 5,487.96