Finding the Third Proportional to 2,827.41 and 5,692.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,827.41 : 5,692.78 = 5,692.78 : x
2. Step 2: Convert to fraction form
   2,827.41/5,692.78 = 5,692.78/x
3. Step 3: Cross multiply
   2,827.41x = 5,692.78 × 5,692.78
4. Step 4: Simplify right side
   2,827.41x = 32,407,758.36
5. Step 5: Solve for x
   x = 32,407,758.36/2,827.41
6. Step 6: Final answer
   x = 11,462.01