Finding the Third Proportional to 5,257.83 and 8,762.77

Step by Step Solution

1. Step 1: Write the proportion equation
   5,257.83 : 8,762.77 = 8,762.77 : x
2. Step 2: Convert to fraction form
   5,257.83/8,762.77 = 8,762.77/x
3. Step 3: Cross multiply
   5,257.83x = 8,762.77 × 8,762.77
4. Step 4: Simplify right side
   5,257.83x = 76,786,061.40
5. Step 5: Solve for x
   x = 76,786,061.40/5,257.83
6. Step 6: Final answer
   x = 14,604.14