Finding the Third Proportional to 2,647 and 5,692.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,647 : 5,692.75 = 5,692.75 : x
2. Step 2: Convert to fraction form
   2,647/5,692.75 = 5,692.75/x
3. Step 3: Cross multiply
   2,647x = 5,692.75 × 5,692.75
4. Step 4: Simplify right side
   2,647x = 32,407,402.56
5. Step 5: Solve for x
   x = 32,407,402.56/2,647
6. Step 6: Final answer
   x = 12,243.07