Finding the Third Proportional to 10,380 and 21,864

Step by Step Solution

1. Step 1: Write the proportion equation
   10,380 : 21,864 = 21,864 : x
2. Step 2: Convert to fraction form
   10,380/21,864 = 21,864/x
3. Step 3: Cross multiply
   10,380x = 21,864 × 21,864
4. Step 4: Simplify right side
   10,380x = 478,034,496
5. Step 5: Solve for x
   x = 478,034,496/10,380
6. Step 6: Final answer
   x = 46,053.42