Finding the Third Proportional to 1,828.50 and 4,003.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,828.50 : 4,003.88 = 4,003.88 : x
2. Step 2: Convert to fraction form
   1,828.50/4,003.88 = 4,003.88/x
3. Step 3: Cross multiply
   1,828.50x = 4,003.88 × 4,003.88
4. Step 4: Simplify right side
   1,828.50x = 16,031,015.02
5. Step 5: Solve for x
   x = 16,031,015.02/1,828.50
6. Step 6: Final answer
   x = 8,767.30