Finding the Third Proportional to 16,014 and 34,341

Step by Step Solution

1. Step 1: Write the proportion equation
   16,014 : 34,341 = 34,341 : x
2. Step 2: Convert to fraction form
   16,014/34,341 = 34,341/x
3. Step 3: Cross multiply
   16,014x = 34,341 × 34,341
4. Step 4: Simplify right side
   16,014x = 1,179,304,281
5. Step 5: Solve for x
   x = 1,179,304,281/16,014
6. Step 6: Final answer
   x = 73,642.08