Finding the Third Proportional to 1,974.50 and 3,670

Step by Step Solution

1. Step 1: Write the proportion equation
   1,974.50 : 3,670 = 3,670 : x
2. Step 2: Convert to fraction form
   1,974.50/3,670 = 3,670/x
3. Step 3: Cross multiply
   1,974.50x = 3,670 × 3,670
4. Step 4: Simplify right side
   1,974.50x = 13,468,900
5. Step 5: Solve for x
   x = 13,468,900/1,974.50
6. Step 6: Final answer
   x = 6,821.42