Finding the Third Proportional to 1,828.69 and 2,674.13

Step by Step Solution

1. Step 1: Write the proportion equation
   1,828.69 : 2,674.13 = 2,674.13 : x
2. Step 2: Convert to fraction form
   1,828.69/2,674.13 = 2,674.13/x
3. Step 3: Cross multiply
   1,828.69x = 2,674.13 × 2,674.13
4. Step 4: Simplify right side
   1,828.69x = 7,150,944.52
5. Step 5: Solve for x
   x = 7,150,944.52/1,828.69
6. Step 6: Final answer
   x = 3,910.42