Finding the Third Proportional to 1,826.30 and 3,944.48

Step by Step Solution

1. Step 1: Write the proportion equation
   1,826.30 : 3,944.48 = 3,944.48 : x
2. Step 2: Convert to fraction form
   1,826.30/3,944.48 = 3,944.48/x
3. Step 3: Cross multiply
   1,826.30x = 3,944.48 × 3,944.48
4. Step 4: Simplify right side
   1,826.30x = 15,558,910.76
5. Step 5: Solve for x
   x = 15,558,910.76/1,826.30
6. Step 6: Final answer
   x = 8,519.38