Finding the Third Proportional to 2,039 and 2,769.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,039 : 2,769.50 = 2,769.50 : x
2. Step 2: Convert to fraction form
   2,039/2,769.50 = 2,769.50/x
3. Step 3: Cross multiply
   2,039x = 2,769.50 × 2,769.50
4. Step 4: Simplify right side
   2,039x = 7,670,130.25
5. Step 5: Solve for x
   x = 7,670,130.25/2,039
6. Step 6: Final answer
   x = 3,761.71