Finding the Third Proportional to 2,583.77 and 5,320.37

Step by Step Solution

1. Step 1: Write the proportion equation
   2,583.77 : 5,320.37 = 5,320.37 : x
2. Step 2: Convert to fraction form
   2,583.77/5,320.37 = 5,320.37/x
3. Step 3: Cross multiply
   2,583.77x = 5,320.37 × 5,320.37
4. Step 4: Simplify right side
   2,583.77x = 28,306,348.58
5. Step 5: Solve for x
   x = 28,306,348.58/2,583.77
6. Step 6: Final answer
   x = 10,955.43