Finding the Third Proportional to 16,616 and 34,624

Step by Step Solution

1. Step 1: Write the proportion equation
   16,616 : 34,624 = 34,624 : x
2. Step 2: Convert to fraction form
   16,616/34,624 = 34,624/x
3. Step 3: Cross multiply
   16,616x = 34,624 × 34,624
4. Step 4: Simplify right side
   16,616x = 1,198,821,376
5. Step 5: Solve for x
   x = 1,198,821,376/16,616
6. Step 6: Final answer
   x = 72,148.61