Finding the Third Proportional to 16,523 and 34,661

Step by Step Solution

1. Step 1: Write the proportion equation
   16,523 : 34,661 = 34,661 : x
2. Step 2: Convert to fraction form
   16,523/34,661 = 34,661/x
3. Step 3: Cross multiply
   16,523x = 34,661 × 34,661
4. Step 4: Simplify right side
   16,523x = 1,201,384,921
5. Step 5: Solve for x
   x = 1,201,384,921/16,523
6. Step 6: Final answer
   x = 72,709.85