Finding the Third Proportional to 2,296.69 and 4,418.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,296.69 : 4,418.72 = 4,418.72 : x
2. Step 2: Convert to fraction form
   2,296.69/4,418.72 = 4,418.72/x
3. Step 3: Cross multiply
   2,296.69x = 4,418.72 × 4,418.72
4. Step 4: Simplify right side
   2,296.69x = 19,525,075.39
5. Step 5: Solve for x
   x = 19,525,075.39/2,296.69
6. Step 6: Final answer
   x = 8,501.41