Finding the Third Proportional to 1,828.13 and 4,003.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,828.13 : 4,003.31 = 4,003.31 : x
2. Step 2: Convert to fraction form
   1,828.13/4,003.31 = 4,003.31/x
3. Step 3: Cross multiply
   1,828.13x = 4,003.31 × 4,003.31
4. Step 4: Simplify right side
   1,828.13x = 16,026,510.97
5. Step 5: Solve for x
   x = 16,026,510.97/1,828.13
6. Step 6: Final answer
   x = 8,766.64