Finding the Third Proportional to 3,733.59 and 5,692.78

Step by Step Solution

1. Step 1: Write the proportion equation
   3,733.59 : 5,692.78 = 5,692.78 : x
2. Step 2: Convert to fraction form
   3,733.59/5,692.78 = 5,692.78/x
3. Step 3: Cross multiply
   3,733.59x = 5,692.78 × 5,692.78
4. Step 4: Simplify right side
   3,733.59x = 32,407,758.36
5. Step 5: Solve for x
   x = 32,407,758.36/3,733.59
6. Step 6: Final answer
   x = 8,680.04