Finding the Third Proportional to 10,674 and 21,348

Step by Step Solution

1. Step 1: Write the proportion equation
   10,674 : 21,348 = 21,348 : x
2. Step 2: Convert to fraction form
   10,674/21,348 = 21,348/x
3. Step 3: Cross multiply
   10,674x = 21,348 × 21,348
4. Step 4: Simplify right side
   10,674x = 455,737,104
5. Step 5: Solve for x
   x = 455,737,104/10,674
6. Step 6: Final answer
   x = 42,696