Finding the Third Proportional to 2,148.75 and 2,800.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,148.75 : 2,800.69 = 2,800.69 : x
2. Step 2: Convert to fraction form
   2,148.75/2,800.69 = 2,800.69/x
3. Step 3: Cross multiply
   2,148.75x = 2,800.69 × 2,800.69
4. Step 4: Simplify right side
   2,148.75x = 7,843,850.47
5. Step 5: Solve for x
   x = 7,843,850.47/2,148.75
6. Step 6: Final answer
   x = 3,650.42