Finding the Third Proportional to 5,792 and 10,092

Step by Step Solution

1. Step 1: Write the proportion equation
   5,792 : 10,092 = 10,092 : x
2. Step 2: Convert to fraction form
   5,792/10,092 = 10,092/x
3. Step 3: Cross multiply
   5,792x = 10,092 × 10,092
4. Step 4: Simplify right side
   5,792x = 101,848,464
5. Step 5: Solve for x
   x = 101,848,464/5,792
6. Step 6: Final answer
   x = 17,584.33