Finding the Third Proportional to 33,723 and 73,710

Step by Step Solution

1. Step 1: Write the proportion equation
   33,723 : 73,710 = 73,710 : x
2. Step 2: Convert to fraction form
   33,723/73,710 = 73,710/x
3. Step 3: Cross multiply
   33,723x = 73,710 × 73,710
4. Step 4: Simplify right side
   33,723x = 5,433,164,100
5. Step 5: Solve for x
   x = 5,433,164,100/33,723
6. Step 6: Final answer
   x = 161,111.53