Finding the Third Proportional to 12,674 and 30,821

Step by Step Solution

1. Step 1: Write the proportion equation
   12,674 : 30,821 = 30,821 : x
2. Step 2: Convert to fraction form
   12,674/30,821 = 30,821/x
3. Step 3: Cross multiply
   12,674x = 30,821 × 30,821
4. Step 4: Simplify right side
   12,674x = 949,934,041
5. Step 5: Solve for x
   x = 949,934,041/12,674
6. Step 6: Final answer
   x = 74,951.40