Finding the Third Proportional to 3,786.75 and 5,558.63

Step by Step Solution

1. Step 1: Write the proportion equation
   3,786.75 : 5,558.63 = 5,558.63 : x
2. Step 2: Convert to fraction form
   3,786.75/5,558.63 = 5,558.63/x
3. Step 3: Cross multiply
   3,786.75x = 5,558.63 × 5,558.63
4. Step 4: Simplify right side
   3,786.75x = 30,898,311.89
5. Step 5: Solve for x
   x = 30,898,311.89/3,786.75
6. Step 6: Final answer
   x = 8,159.59