Finding the Third Proportional to 10,376 and 12,644

Step by Step Solution

1. Step 1: Write the proportion equation
   10,376 : 12,644 = 12,644 : x
2. Step 2: Convert to fraction form
   10,376/12,644 = 12,644/x
3. Step 3: Cross multiply
   10,376x = 12,644 × 12,644
4. Step 4: Simplify right side
   10,376x = 159,870,736
5. Step 5: Solve for x
   x = 159,870,736/10,376
6. Step 6: Final answer
   x = 15,407.74