Finding the Third Proportional to 33,769 and 72,732

Step by Step Solution

1. Step 1: Write the proportion equation
   33,769 : 72,732 = 72,732 : x
2. Step 2: Convert to fraction form
   33,769/72,732 = 72,732/x
3. Step 3: Cross multiply
   33,769x = 72,732 × 72,732
4. Step 4: Simplify right side
   33,769x = 5,289,943,824
5. Step 5: Solve for x
   x = 5,289,943,824/33,769
6. Step 6: Final answer
   x = 156,650.89