Finding the Third Proportional to 1,827.35 and 2,757.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,827.35 : 2,757.38 = 2,757.38 : x
2. Step 2: Convert to fraction form
   1,827.35/2,757.38 = 2,757.38/x
3. Step 3: Cross multiply
   1,827.35x = 2,757.38 × 2,757.38
4. Step 4: Simplify right side
   1,827.35x = 7,603,116.89
5. Step 5: Solve for x
   x = 7,603,116.89/1,827.35
6. Step 6: Final answer
   x = 4,160.73