Finding the Third Proportional to 2,448.96 and 3,678.85

Step by Step Solution

1. Step 1: Write the proportion equation
   2,448.96 : 3,678.85 = 3,678.85 : x
2. Step 2: Convert to fraction form
   2,448.96/3,678.85 = 3,678.85/x
3. Step 3: Cross multiply
   2,448.96x = 3,678.85 × 3,678.85
4. Step 4: Simplify right side
   2,448.96x = 13,533,932.09
5. Step 5: Solve for x
   x = 13,533,932.09/2,448.96
6. Step 6: Final answer
   x = 5,526.40