Finding the Third Proportional to 1,027.69 and 1,692.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,027.69 : 1,692.14 = 1,692.14 : x
2. Step 2: Convert to fraction form
   1,027.69/1,692.14 = 1,692.14/x
3. Step 3: Cross multiply
   1,027.69x = 1,692.14 × 1,692.14
4. Step 4: Simplify right side
   1,027.69x = 2,863,339.89
5. Step 5: Solve for x
   x = 2,863,339.89/1,027.69
6. Step 6: Final answer
   x = 2,786.20