Finding the Third Proportional to 2,003.63 and 4,105.13

Step by Step Solution

1. Step 1: Write the proportion equation
   2,003.63 : 4,105.13 = 4,105.13 : x
2. Step 2: Convert to fraction form
   2,003.63/4,105.13 = 4,105.13/x
3. Step 3: Cross multiply
   2,003.63x = 4,105.13 × 4,105.13
4. Step 4: Simplify right side
   2,003.63x = 16,852,051.27
5. Step 5: Solve for x
   x = 16,852,051.27/2,003.63
6. Step 6: Final answer
   x = 8,410.78