Finding the Third Proportional to 2,583.56 and 5,256.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,583.56 : 5,256.56 = 5,256.56 : x
2. Step 2: Convert to fraction form
   2,583.56/5,256.56 = 5,256.56/x
3. Step 3: Cross multiply
   2,583.56x = 5,256.56 × 5,256.56
4. Step 4: Simplify right side
   2,583.56x = 27,631,449.32
5. Step 5: Solve for x
   x = 27,631,449.32/2,583.56
6. Step 6: Final answer
   x = 10,695.10