Finding the Third Proportional to 1,828.69 and 2,393.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,828.69 : 2,393.72 = 2,393.72 : x
2. Step 2: Convert to fraction form
   1,828.69/2,393.72 = 2,393.72/x
3. Step 3: Cross multiply
   1,828.69x = 2,393.72 × 2,393.72
4. Step 4: Simplify right side
   1,828.69x = 5,729,889.45
5. Step 5: Solve for x
   x = 5,729,889.45/1,828.69
6. Step 6: Final answer
   x = 3,133.33