Finding the Third Proportional to 2,296 and 3,670

Step by Step Solution

1. Step 1: Write the proportion equation
   2,296 : 3,670 = 3,670 : x
2. Step 2: Convert to fraction form
   2,296/3,670 = 3,670/x
3. Step 3: Cross multiply
   2,296x = 3,670 × 3,670
4. Step 4: Simplify right side
   2,296x = 13,468,900
5. Step 5: Solve for x
   x = 13,468,900/2,296
6. Step 6: Final answer
   x = 5,866.25