Finding the Third Proportional to 30,646 and 64,958

Step by Step Solution

1. Step 1: Write the proportion equation
   30,646 : 64,958 = 64,958 : x
2. Step 2: Convert to fraction form
   30,646/64,958 = 64,958/x
3. Step 3: Cross multiply
   30,646x = 64,958 × 64,958
4. Step 4: Simplify right side
   30,646x = 4,219,541,764
5. Step 5: Solve for x
   x = 4,219,541,764/30,646
6. Step 6: Final answer
   x = 137,686.54