Finding the Third Proportional to 9,096 and 19,731

Step by Step Solution

1. Step 1: Write the proportion equation
   9,096 : 19,731 = 19,731 : x
2. Step 2: Convert to fraction form
   9,096/19,731 = 19,731/x
3. Step 3: Cross multiply
   9,096x = 19,731 × 19,731
4. Step 4: Simplify right side
   9,096x = 389,312,361
5. Step 5: Solve for x
   x = 389,312,361/9,096
6. Step 6: Final answer
   x = 42,800.39