Finding the Third Proportional to 10,111 and 21,878

Step by Step Solution

1. Step 1: Write the proportion equation
   10,111 : 21,878 = 21,878 : x
2. Step 2: Convert to fraction form
   10,111/21,878 = 21,878/x
3. Step 3: Cross multiply
   10,111x = 21,878 × 21,878
4. Step 4: Simplify right side
   10,111x = 478,646,884
5. Step 5: Solve for x
   x = 478,646,884/10,111
6. Step 6: Final answer
   x = 47,339.22