Finding the Third Proportional to 2,269.13 and 4,845.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,269.13 : 4,845.38 = 4,845.38 : x
2. Step 2: Convert to fraction form
   2,269.13/4,845.38 = 4,845.38/x
3. Step 3: Cross multiply
   2,269.13x = 4,845.38 × 4,845.38
4. Step 4: Simplify right side
   2,269.13x = 23,477,658.89
5. Step 5: Solve for x
   x = 23,477,658.89/2,269.13
6. Step 6: Final answer
   x = 10,346.57