Finding the Third Proportional to 10,096 and 23,942

Step by Step Solution

1. Step 1: Write the proportion equation
   10,096 : 23,942 = 23,942 : x
2. Step 2: Convert to fraction form
   10,096/23,942 = 23,942/x
3. Step 3: Cross multiply
   10,096x = 23,942 × 23,942
4. Step 4: Simplify right side
   10,096x = 573,219,364
5. Step 5: Solve for x
   x = 573,219,364/10,096
6. Step 6: Final answer
   x = 56,776.88