Finding the Third Proportional to 1,692.56 and 4,128.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,692.56 : 4,128.05 = 4,128.05 : x
2. Step 2: Convert to fraction form
   1,692.56/4,128.05 = 4,128.05/x
3. Step 3: Cross multiply
   1,692.56x = 4,128.05 × 4,128.05
4. Step 4: Simplify right side
   1,692.56x = 17,040,771.00
5. Step 5: Solve for x
   x = 17,040,771.00/1,692.56
6. Step 6: Final answer
   x = 10,068.03