Finding the Third Proportional to 10,100 and 21,824

Step by Step Solution

1. Step 1: Write the proportion equation
   10,100 : 21,824 = 21,824 : x
2. Step 2: Convert to fraction form
   10,100/21,824 = 21,824/x
3. Step 3: Cross multiply
   10,100x = 21,824 × 21,824
4. Step 4: Simplify right side
   10,100x = 476,286,976
5. Step 5: Solve for x
   x = 476,286,976/10,100
6. Step 6: Final answer
   x = 47,157.13