Finding the Third Proportional to 16,742 and 34,573

Step by Step Solution

1. Step 1: Write the proportion equation
   16,742 : 34,573 = 34,573 : x
2. Step 2: Convert to fraction form
   16,742/34,573 = 34,573/x
3. Step 3: Cross multiply
   16,742x = 34,573 × 34,573
4. Step 4: Simplify right side
   16,742x = 1,195,292,329
5. Step 5: Solve for x
   x = 1,195,292,329/16,742
6. Step 6: Final answer
   x = 71,394.84