Finding the Third Proportional to 1,828.69 and 3,022.03

Step by Step Solution

1. Step 1: Write the proportion equation
   1,828.69 : 3,022.03 = 3,022.03 : x
2. Step 2: Convert to fraction form
   1,828.69/3,022.03 = 3,022.03/x
3. Step 3: Cross multiply
   1,828.69x = 3,022.03 × 3,022.03
4. Step 4: Simplify right side
   1,828.69x = 9,132,672.88
5. Step 5: Solve for x
   x = 9,132,672.88/1,828.69
6. Step 6: Final answer
   x = 4,994.11