Finding the Third Proportional to 34,234 and 73,561

Step by Step Solution

1. Step 1: Write the proportion equation
   34,234 : 73,561 = 73,561 : x
2. Step 2: Convert to fraction form
   34,234/73,561 = 73,561/x
3. Step 3: Cross multiply
   34,234x = 73,561 × 73,561
4. Step 4: Simplify right side
   34,234x = 5,411,220,721
5. Step 5: Solve for x
   x = 5,411,220,721/34,234
6. Step 6: Final answer
   x = 158,065.69