Finding the Third Proportional to 1,227.38 and 2,682.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,227.38 : 2,682.56 = 2,682.56 : x
2. Step 2: Convert to fraction form
   1,227.38/2,682.56 = 2,682.56/x
3. Step 3: Cross multiply
   1,227.38x = 2,682.56 × 2,682.56
4. Step 4: Simplify right side
   1,227.38x = 7,196,141.57
5. Step 5: Solve for x
   x = 7,196,141.57/1,227.38
6. Step 6: Final answer
   x = 5,863.03