Finding the Third Proportional to 1,378.69 and 3,234.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,378.69 : 3,234.09 = 3,234.09 : x
2. Step 2: Convert to fraction form
   1,378.69/3,234.09 = 3,234.09/x
3. Step 3: Cross multiply
   1,378.69x = 3,234.09 × 3,234.09
4. Step 4: Simplify right side
   1,378.69x = 10,459,362.38
5. Step 5: Solve for x
   x = 10,459,362.38/1,378.69
6. Step 6: Final answer
   x = 7,586.46