Finding the Third Proportional to 10,096.13 and 20,696

Step by Step Solution

1. Step 1: Write the proportion equation
   10,096.13 : 20,696 = 20,696 : x
2. Step 2: Convert to fraction form
   10,096.13/20,696 = 20,696/x
3. Step 3: Cross multiply
   10,096.13x = 20,696 × 20,696
4. Step 4: Simplify right side
   10,096.13x = 428,324,416
5. Step 5: Solve for x
   x = 428,324,416/10,096.13
6. Step 6: Final answer
   x = 42,424.63