Finding the Third Proportional to 10,106 and 20,623

Step by Step Solution

1. Step 1: Write the proportion equation
   10,106 : 20,623 = 20,623 : x
2. Step 2: Convert to fraction form
   10,106/20,623 = 20,623/x
3. Step 3: Cross multiply
   10,106x = 20,623 × 20,623
4. Step 4: Simplify right side
   10,106x = 425,308,129
5. Step 5: Solve for x
   x = 425,308,129/10,106
6. Step 6: Final answer
   x = 42,084.71