Finding the Third Proportional to 2,004.89 and 4,829.98

Step by Step Solution

1. Step 1: Write the proportion equation
   2,004.89 : 4,829.98 = 4,829.98 : x
2. Step 2: Convert to fraction form
   2,004.89/4,829.98 = 4,829.98/x
3. Step 3: Cross multiply
   2,004.89x = 4,829.98 × 4,829.98
4. Step 4: Simplify right side
   2,004.89x = 23,328,673.59
5. Step 5: Solve for x
   x = 23,328,673.59/2,004.89
6. Step 6: Final answer
   x = 11,635.88