Finding the Third Proportional to 2,692.41 and 5,827.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,692.41 : 5,827.78 = 5,827.78 : x
2. Step 2: Convert to fraction form
   2,692.41/5,827.78 = 5,827.78/x
3. Step 3: Cross multiply
   2,692.41x = 5,827.78 × 5,827.78
4. Step 4: Simplify right side
   2,692.41x = 33,963,034.30
5. Step 5: Solve for x
   x = 33,963,034.30/2,692.41
6. Step 6: Final answer
   x = 12,614.38