Finding the Third Proportional to 2,037 and 2,835.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,037 : 2,835.50 = 2,835.50 : x
2. Step 2: Convert to fraction form
   2,037/2,835.50 = 2,835.50/x
3. Step 3: Cross multiply
   2,037x = 2,835.50 × 2,835.50
4. Step 4: Simplify right side
   2,037x = 8,040,060.25
5. Step 5: Solve for x
   x = 8,040,060.25/2,037
6. Step 6: Final answer
   x = 3,947.01