Finding the Third Proportional to 12,704 and 30,896

Step by Step Solution

1. Step 1: Write the proportion equation
   12,704 : 30,896 = 30,896 : x
2. Step 2: Convert to fraction form
   12,704/30,896 = 30,896/x
3. Step 3: Cross multiply
   12,704x = 30,896 × 30,896
4. Step 4: Simplify right side
   12,704x = 954,562,816
5. Step 5: Solve for x
   x = 954,562,816/12,704
6. Step 6: Final answer
   x = 75,138.76