Finding the Third Proportional to 30,016 and 64,384

Step by Step Solution

1. Step 1: Write the proportion equation
   30,016 : 64,384 = 64,384 : x
2. Step 2: Convert to fraction form
   30,016/64,384 = 64,384/x
3. Step 3: Cross multiply
   30,016x = 64,384 × 64,384
4. Step 4: Simplify right side
   30,016x = 4,145,299,456
5. Step 5: Solve for x
   x = 4,145,299,456/30,016
6. Step 6: Final answer
   x = 138,102.99