Finding the Third Proportional to 16,696 and 34,009

Step by Step Solution

1. Step 1: Write the proportion equation
   16,696 : 34,009 = 34,009 : x
2. Step 2: Convert to fraction form
   16,696/34,009 = 34,009/x
3. Step 3: Cross multiply
   16,696x = 34,009 × 34,009
4. Step 4: Simplify right side
   16,696x = 1,156,612,081
5. Step 5: Solve for x
   x = 1,156,612,081/16,696
6. Step 6: Final answer
   x = 69,274.80