Finding the Third Proportional to 16,097 and 23,909

Step by Step Solution

1. Step 1: Write the proportion equation
   16,097 : 23,909 = 23,909 : x
2. Step 2: Convert to fraction form
   16,097/23,909 = 23,909/x
3. Step 3: Cross multiply
   16,097x = 23,909 × 23,909
4. Step 4: Simplify right side
   16,097x = 571,640,281
5. Step 5: Solve for x
   x = 571,640,281/16,097
6. Step 6: Final answer
   x = 35,512.22