Finding the Third Proportional to 2,003.63 and 4,745.81

Step by Step Solution

1. Step 1: Write the proportion equation
   2,003.63 : 4,745.81 = 4,745.81 : x
2. Step 2: Convert to fraction form
   2,003.63/4,745.81 = 4,745.81/x
3. Step 3: Cross multiply
   2,003.63x = 4,745.81 × 4,745.81
4. Step 4: Simplify right side
   2,003.63x = 22,522,736.29
5. Step 5: Solve for x
   x = 22,522,736.29/2,003.63
6. Step 6: Final answer
   x = 11,240.99