Finding the Third Proportional to 16,214 and 23,792

Step by Step Solution

1. Step 1: Write the proportion equation
   16,214 : 23,792 = 23,792 : x
2. Step 2: Convert to fraction form
   16,214/23,792 = 23,792/x
3. Step 3: Cross multiply
   16,214x = 23,792 × 23,792
4. Step 4: Simplify right side
   16,214x = 566,059,264
5. Step 5: Solve for x
   x = 566,059,264/16,214
6. Step 6: Final answer
   x = 34,911.76