Finding the Third Proportional to 33,324 and 71,384

Step by Step Solution

1. Step 1: Write the proportion equation
   33,324 : 71,384 = 71,384 : x
2. Step 2: Convert to fraction form
   33,324/71,384 = 71,384/x
3. Step 3: Cross multiply
   33,324x = 71,384 × 71,384
4. Step 4: Simplify right side
   33,324x = 5,095,675,456
5. Step 5: Solve for x
   x = 5,095,675,456/33,324
6. Step 6: Final answer
   x = 152,913.08