Finding the Third Proportional to 16,364 and 34,676

Step by Step Solution

1. Step 1: Write the proportion equation
   16,364 : 34,676 = 34,676 : x
2. Step 2: Convert to fraction form
   16,364/34,676 = 34,676/x
3. Step 3: Cross multiply
   16,364x = 34,676 × 34,676
4. Step 4: Simplify right side
   16,364x = 1,202,424,976
5. Step 5: Solve for x
   x = 1,202,424,976/16,364
6. Step 6: Final answer
   x = 73,479.89