Finding the Third Proportional to 16,378 and 34,051

Step by Step Solution

1. Step 1: Write the proportion equation
   16,378 : 34,051 = 34,051 : x
2. Step 2: Convert to fraction form
   16,378/34,051 = 34,051/x
3. Step 3: Cross multiply
   16,378x = 34,051 × 34,051
4. Step 4: Simplify right side
   16,378x = 1,159,470,601
5. Step 5: Solve for x
   x = 1,159,470,601/16,378
6. Step 6: Final answer
   x = 70,794.39