Finding the Third Proportional to 30,686 and 64,444

Step by Step Solution

1. Step 1: Write the proportion equation
   30,686 : 64,444 = 64,444 : x
2. Step 2: Convert to fraction form
   30,686/64,444 = 64,444/x
3. Step 3: Cross multiply
   30,686x = 64,444 × 64,444
4. Step 4: Simplify right side
   30,686x = 4,153,029,136
5. Step 5: Solve for x
   x = 4,153,029,136/30,686
6. Step 6: Final answer
   x = 135,339.54