Finding the Third Proportional to 1,838.25 and 2,676.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,838.25 : 2,676.38 = 2,676.38 : x
2. Step 2: Convert to fraction form
   1,838.25/2,676.38 = 2,676.38/x
3. Step 3: Cross multiply
   1,838.25x = 2,676.38 × 2,676.38
4. Step 4: Simplify right side
   1,838.25x = 7,162,983.14
5. Step 5: Solve for x
   x = 7,162,983.14/1,838.25
6. Step 6: Final answer
   x = 3,896.63