Finding the Third Proportional to 10,141 and 21,082

Step by Step Solution

1. Step 1: Write the proportion equation
   10,141 : 21,082 = 21,082 : x
2. Step 2: Convert to fraction form
   10,141/21,082 = 21,082/x
3. Step 3: Cross multiply
   10,141x = 21,082 × 21,082
4. Step 4: Simplify right side
   10,141x = 444,450,724
5. Step 5: Solve for x
   x = 444,450,724/10,141
6. Step 6: Final answer
   x = 43,827.11