Finding the Third Proportional to 16,096 and 24,340

Step by Step Solution

1. Step 1: Write the proportion equation
   16,096 : 24,340 = 24,340 : x
2. Step 2: Convert to fraction form
   16,096/24,340 = 24,340/x
3. Step 3: Cross multiply
   16,096x = 24,340 × 24,340
4. Step 4: Simplify right side
   16,096x = 592,435,600
5. Step 5: Solve for x
   x = 592,435,600/16,096
6. Step 6: Final answer
   x = 36,806.39