Finding the Third Proportional to 33,521 and 73,738

Step by Step Solution

1. Step 1: Write the proportion equation
   33,521 : 73,738 = 73,738 : x
2. Step 2: Convert to fraction form
   33,521/73,738 = 73,738/x
3. Step 3: Cross multiply
   33,521x = 73,738 × 73,738
4. Step 4: Simplify right side
   33,521x = 5,437,292,644
5. Step 5: Solve for x
   x = 5,437,292,644/33,521
6. Step 6: Final answer
   x = 162,205.56