Finding the Third Proportional to 16,420 and 34,256

Step by Step Solution

1. Step 1: Write the proportion equation
   16,420 : 34,256 = 34,256 : x
2. Step 2: Convert to fraction form
   16,420/34,256 = 34,256/x
3. Step 3: Cross multiply
   16,420x = 34,256 × 34,256
4. Step 4: Simplify right side
   16,420x = 1,173,473,536
5. Step 5: Solve for x
   x = 1,173,473,536/16,420
6. Step 6: Final answer
   x = 71,466.11