Finding the Third Proportional to 3,700.69 and 7,769.67

Step by Step Solution

1. Step 1: Write the proportion equation
   3,700.69 : 7,769.67 = 7,769.67 : x
2. Step 2: Convert to fraction form
   3,700.69/7,769.67 = 7,769.67/x
3. Step 3: Cross multiply
   3,700.69x = 7,769.67 × 7,769.67
4. Step 4: Simplify right side
   3,700.69x = 60,367,801.05
5. Step 5: Solve for x
   x = 60,367,801.05/3,700.69
6. Step 6: Final answer
   x = 16,312.59