Finding the Third Proportional to 10,224 and 20,878

Step by Step Solution

1. Step 1: Write the proportion equation
   10,224 : 20,878 = 20,878 : x
2. Step 2: Convert to fraction form
   10,224/20,878 = 20,878/x
3. Step 3: Cross multiply
   10,224x = 20,878 × 20,878
4. Step 4: Simplify right side
   10,224x = 435,890,884
5. Step 5: Solve for x
   x = 435,890,884/10,224
6. Step 6: Final answer
   x = 42,634.08