Finding the Third Proportional to 2,503.69 and 2,766.94

Step by Step Solution

1. Step 1: Write the proportion equation
   2,503.69 : 2,766.94 = 2,766.94 : x
2. Step 2: Convert to fraction form
   2,503.69/2,766.94 = 2,766.94/x
3. Step 3: Cross multiply
   2,503.69x = 2,766.94 × 2,766.94
4. Step 4: Simplify right side
   2,503.69x = 7,655,943.13
5. Step 5: Solve for x
   x = 7,655,943.13/2,503.69
6. Step 6: Final answer
   x = 3,057.87