Finding the Third Proportional to 2,453.63 and 5,608.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,453.63 : 5,608.69 = 5,608.69 : x
2. Step 2: Convert to fraction form
   2,453.63/5,608.69 = 5,608.69/x
3. Step 3: Cross multiply
   2,453.63x = 5,608.69 × 5,608.69
4. Step 4: Simplify right side
   2,453.63x = 31,457,375.47
5. Step 5: Solve for x
   x = 31,457,375.47/2,453.63
6. Step 6: Final answer
   x = 12,820.78