Finding the Third Proportional to 2,883.09 and 5,200.45

Step by Step Solution

1. Step 1: Write the proportion equation
   2,883.09 : 5,200.45 = 5,200.45 : x
2. Step 2: Convert to fraction form
   2,883.09/5,200.45 = 5,200.45/x
3. Step 3: Cross multiply
   2,883.09x = 5,200.45 × 5,200.45
4. Step 4: Simplify right side
   2,883.09x = 27,044,712.71
5. Step 5: Solve for x
   x = 27,044,712.71/2,883.09
6. Step 6: Final answer
   x = 9,380.45