Finding the Third Proportional to 10,106 and 21,819

Step by Step Solution

1. Step 1: Write the proportion equation
   10,106 : 21,819 = 21,819 : x
2. Step 2: Convert to fraction form
   10,106/21,819 = 21,819/x
3. Step 3: Cross multiply
   10,106x = 21,819 × 21,819
4. Step 4: Simplify right side
   10,106x = 476,068,761
5. Step 5: Solve for x
   x = 476,068,761/10,106
6. Step 6: Final answer
   x = 47,107.54