Finding the Third Proportional to 16,766 and 34,909

Step by Step Solution

1. Step 1: Write the proportion equation
   16,766 : 34,909 = 34,909 : x
2. Step 2: Convert to fraction form
   16,766/34,909 = 34,909/x
3. Step 3: Cross multiply
   16,766x = 34,909 × 34,909
4. Step 4: Simplify right side
   16,766x = 1,218,638,281
5. Step 5: Solve for x
   x = 1,218,638,281/16,766
6. Step 6: Final answer
   x = 72,685.09