Finding the Third Proportional to 10,096.75 and 20,697

Step by Step Solution

1. Step 1: Write the proportion equation
   10,096.75 : 20,697 = 20,697 : x
2. Step 2: Convert to fraction form
   10,096.75/20,697 = 20,697/x
3. Step 3: Cross multiply
   10,096.75x = 20,697 × 20,697
4. Step 4: Simplify right side
   10,096.75x = 428,365,809
5. Step 5: Solve for x
   x = 428,365,809/10,096.75
6. Step 6: Final answer
   x = 42,426.11