Finding the Third Proportional to 34,096 and 73,736

Step by Step Solution

1. Step 1: Write the proportion equation
   34,096 : 73,736 = 73,736 : x
2. Step 2: Convert to fraction form
   34,096/73,736 = 73,736/x
3. Step 3: Cross multiply
   34,096x = 73,736 × 73,736
4. Step 4: Simplify right side
   34,096x = 5,436,997,696
5. Step 5: Solve for x
   x = 5,436,997,696/34,096
6. Step 6: Final answer
   x = 159,461.45