Finding the Third Proportional to 2,891 and 4,077.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,891 : 4,077.50 = 4,077.50 : x
2. Step 2: Convert to fraction form
   2,891/4,077.50 = 4,077.50/x
3. Step 3: Cross multiply
   2,891x = 4,077.50 × 4,077.50
4. Step 4: Simplify right side
   2,891x = 16,626,006.25
5. Step 5: Solve for x
   x = 16,626,006.25/2,891
6. Step 6: Final answer
   x = 5,750.95