Finding the Third Proportional to 4,829.63 and 7,255.83

Step by Step Solution

1. Step 1: Write the proportion equation
   4,829.63 : 7,255.83 = 7,255.83 : x
2. Step 2: Convert to fraction form
   4,829.63/7,255.83 = 7,255.83/x
3. Step 3: Cross multiply
   4,829.63x = 7,255.83 × 7,255.83
4. Step 4: Simplify right side
   4,829.63x = 52,647,041.78
5. Step 5: Solve for x
   x = 52,647,041.78/4,829.63
6. Step 6: Final answer
   x = 10,900.85