Finding the Third Proportional to 33,020 and 64,384

Step by Step Solution

1. Step 1: Write the proportion equation
   33,020 : 64,384 = 64,384 : x
2. Step 2: Convert to fraction form
   33,020/64,384 = 64,384/x
3. Step 3: Cross multiply
   33,020x = 64,384 × 64,384
4. Step 4: Simplify right side
   33,020x = 4,145,299,456
5. Step 5: Solve for x
   x = 4,145,299,456/33,020
6. Step 6: Final answer
   x = 125,539.05