Finding the Third Proportional to 2,500 and 3,836.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,500 : 3,836.50 = 3,836.50 : x
2. Step 2: Convert to fraction form
   2,500/3,836.50 = 3,836.50/x
3. Step 3: Cross multiply
   2,500x = 3,836.50 × 3,836.50
4. Step 4: Simplify right side
   2,500x = 14,718,732.25
5. Step 5: Solve for x
   x = 14,718,732.25/2,500
6. Step 6: Final answer
   x = 5,887.49