Finding the Third Proportional to 34,164 and 73,944

Step by Step Solution

1. Step 1: Write the proportion equation
   34,164 : 73,944 = 73,944 : x
2. Step 2: Convert to fraction form
   34,164/73,944 = 73,944/x
3. Step 3: Cross multiply
   34,164x = 73,944 × 73,944
4. Step 4: Simplify right side
   34,164x = 5,467,715,136
5. Step 5: Solve for x
   x = 5,467,715,136/34,164
6. Step 6: Final answer
   x = 160,043.18