Finding the Third Proportional to 9,536 and 16,792

Step by Step Solution

1. Step 1: Write the proportion equation
   9,536 : 16,792 = 16,792 : x
2. Step 2: Convert to fraction form
   9,536/16,792 = 16,792/x
3. Step 3: Cross multiply
   9,536x = 16,792 × 16,792
4. Step 4: Simplify right side
   9,536x = 281,971,264
5. Step 5: Solve for x
   x = 281,971,264/9,536
6. Step 6: Final answer
   x = 29,569.13