Finding the Third Proportional to 1,826.30 and 2,752.73

Step by Step Solution

1. Step 1: Write the proportion equation
   1,826.30 : 2,752.73 = 2,752.73 : x
2. Step 2: Convert to fraction form
   1,826.30/2,752.73 = 2,752.73/x
3. Step 3: Cross multiply
   1,826.30x = 2,752.73 × 2,752.73
4. Step 4: Simplify right side
   1,826.30x = 7,577,546.54
5. Step 5: Solve for x
   x = 7,577,546.54/1,826.30
6. Step 6: Final answer
   x = 4,149.13