Finding the Third Proportional to 10,106 and 20,501

Step by Step Solution

1. Step 1: Write the proportion equation
   10,106 : 20,501 = 20,501 : x
2. Step 2: Convert to fraction form
   10,106/20,501 = 20,501/x
3. Step 3: Cross multiply
   10,106x = 20,501 × 20,501
4. Step 4: Simplify right side
   10,106x = 420,291,001
5. Step 5: Solve for x
   x = 420,291,001/10,106
6. Step 6: Final answer
   x = 41,588.26