Finding the Third Proportional to 2,034 and 2,767.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,034 : 2,767.50 = 2,767.50 : x
2. Step 2: Convert to fraction form
   2,034/2,767.50 = 2,767.50/x
3. Step 3: Cross multiply
   2,034x = 2,767.50 × 2,767.50
4. Step 4: Simplify right side
   2,034x = 7,659,056.25
5. Step 5: Solve for x
   x = 7,659,056.25/2,034
6. Step 6: Final answer
   x = 3,765.51