Finding the Third Proportional to 1,257.77 and 2,722.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,257.77 : 2,722.72 = 2,722.72 : x
2. Step 2: Convert to fraction form
   1,257.77/2,722.72 = 2,722.72/x
3. Step 3: Cross multiply
   1,257.77x = 2,722.72 × 2,722.72
4. Step 4: Simplify right side
   1,257.77x = 7,413,178.78
5. Step 5: Solve for x
   x = 7,413,178.78/1,257.77
6. Step 6: Final answer
   x = 5,893.89