Finding the Third Proportional to 16,144 and 34,406

Step by Step Solution

1. Step 1: Write the proportion equation
   16,144 : 34,406 = 34,406 : x
2. Step 2: Convert to fraction form
   16,144/34,406 = 34,406/x
3. Step 3: Cross multiply
   16,144x = 34,406 × 34,406
4. Step 4: Simplify right side
   16,144x = 1,183,772,836
5. Step 5: Solve for x
   x = 1,183,772,836/16,144
6. Step 6: Final answer
   x = 73,325.87