Finding the Third Proportional to 16,601 and 34,741

Step by Step Solution

1. Step 1: Write the proportion equation
   16,601 : 34,741 = 34,741 : x
2. Step 2: Convert to fraction form
   16,601/34,741 = 34,741/x
3. Step 3: Cross multiply
   16,601x = 34,741 × 34,741
4. Step 4: Simplify right side
   16,601x = 1,206,937,081
5. Step 5: Solve for x
   x = 1,206,937,081/16,601
6. Step 6: Final answer
   x = 72,702.67