Finding the Third Proportional to 5,792 and 12,691

Step by Step Solution

1. Step 1: Write the proportion equation
   5,792 : 12,691 = 12,691 : x
2. Step 2: Convert to fraction form
   5,792/12,691 = 12,691/x
3. Step 3: Cross multiply
   5,792x = 12,691 × 12,691
4. Step 4: Simplify right side
   5,792x = 161,061,481
5. Step 5: Solve for x
   x = 161,061,481/5,792
6. Step 6: Final answer
   x = 27,807.58