Finding the Third Proportional to 30,544 and 64,949

Step by Step Solution

1. Step 1: Write the proportion equation
   30,544 : 64,949 = 64,949 : x
2. Step 2: Convert to fraction form
   30,544/64,949 = 64,949/x
3. Step 3: Cross multiply
   30,544x = 64,949 × 64,949
4. Step 4: Simplify right side
   30,544x = 4,218,372,601
5. Step 5: Solve for x
   x = 4,218,372,601/30,544
6. Step 6: Final answer
   x = 138,108.06