Finding the Third Proportional to 2,556.56 and 4,749.89

Step by Step Solution

1. Step 1: Write the proportion equation
   2,556.56 : 4,749.89 = 4,749.89 : x
2. Step 2: Convert to fraction form
   2,556.56/4,749.89 = 4,749.89/x
3. Step 3: Cross multiply
   2,556.56x = 4,749.89 × 4,749.89
4. Step 4: Simplify right side
   2,556.56x = 22,561,460.95
5. Step 5: Solve for x
   x = 22,561,460.95/2,556.56
6. Step 6: Final answer
   x = 8,824.92