Finding the Third Proportional to 3,576.56 and 7,768.78

Step by Step Solution

1. Step 1: Write the proportion equation
   3,576.56 : 7,768.78 = 7,768.78 : x
2. Step 2: Convert to fraction form
   3,576.56/7,768.78 = 7,768.78/x
3. Step 3: Cross multiply
   3,576.56x = 7,768.78 × 7,768.78
4. Step 4: Simplify right side
   3,576.56x = 60,353,962.11
5. Step 5: Solve for x
   x = 60,353,962.11/3,576.56
6. Step 6: Final answer
   x = 16,874.85