Finding the Third Proportional to 16,172 and 34,306

Step by Step Solution

1. Step 1: Write the proportion equation
   16,172 : 34,306 = 34,306 : x
2. Step 2: Convert to fraction form
   16,172/34,306 = 34,306/x
3. Step 3: Cross multiply
   16,172x = 34,306 × 34,306
4. Step 4: Simplify right side
   16,172x = 1,176,901,636
5. Step 5: Solve for x
   x = 1,176,901,636/16,172
6. Step 6: Final answer
   x = 72,774.03