Finding the Third Proportional to 1,770.29 and 3,882.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,770.29 : 3,882.30 = 3,882.30 : x
2. Step 2: Convert to fraction form
   1,770.29/3,882.30 = 3,882.30/x
3. Step 3: Cross multiply
   1,770.29x = 3,882.30 × 3,882.30
4. Step 4: Simplify right side
   1,770.29x = 15,072,289.69
5. Step 5: Solve for x
   x = 15,072,289.69/1,770.29
6. Step 6: Final answer
   x = 8,514.01