Finding the Third Proportional to 10,878 and 19,644

Step by Step Solution

1. Step 1: Write the proportion equation
   10,878 : 19,644 = 19,644 : x
2. Step 2: Convert to fraction form
   10,878/19,644 = 19,644/x
3. Step 3: Cross multiply
   10,878x = 19,644 × 19,644
4. Step 4: Simplify right side
   10,878x = 385,886,736
5. Step 5: Solve for x
   x = 385,886,736/10,878
6. Step 6: Final answer
   x = 35,474.05