Finding the Third Proportional to 2,692.59 and 4,022.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,692.59 : 4,022.72 = 4,022.72 : x
2. Step 2: Convert to fraction form
   2,692.59/4,022.72 = 4,022.72/x
3. Step 3: Cross multiply
   2,692.59x = 4,022.72 × 4,022.72
4. Step 4: Simplify right side
   2,692.59x = 16,182,266.14
5. Step 5: Solve for x
   x = 16,182,266.14/2,692.59
6. Step 6: Final answer
   x = 6,009.92