Finding the Third Proportional to 16,005 and 34,379

Step by Step Solution

1. Step 1: Write the proportion equation
   16,005 : 34,379 = 34,379 : x
2. Step 2: Convert to fraction form
   16,005/34,379 = 34,379/x
3. Step 3: Cross multiply
   16,005x = 34,379 × 34,379
4. Step 4: Simplify right side
   16,005x = 1,181,915,641
5. Step 5: Solve for x
   x = 1,181,915,641/16,005
6. Step 6: Final answer
   x = 73,846.65