Finding the Third Proportional to 10,380 and 12,621

Step by Step Solution

1. Step 1: Write the proportion equation
   10,380 : 12,621 = 12,621 : x
2. Step 2: Convert to fraction form
   10,380/12,621 = 12,621/x
3. Step 3: Cross multiply
   10,380x = 12,621 × 12,621
4. Step 4: Simplify right side
   10,380x = 159,289,641
5. Step 5: Solve for x
   x = 159,289,641/10,380
6. Step 6: Final answer
   x = 15,345.82