Finding the Third Proportional to 3,092.55 and 4,792.61

Step by Step Solution

1. Step 1: Write the proportion equation
   3,092.55 : 4,792.61 = 4,792.61 : x
2. Step 2: Convert to fraction form
   3,092.55/4,792.61 = 4,792.61/x
3. Step 3: Cross multiply
   3,092.55x = 4,792.61 × 4,792.61
4. Step 4: Simplify right side
   3,092.55x = 22,969,067.18
5. Step 5: Solve for x
   x = 22,969,067.18/3,092.55
6. Step 6: Final answer
   x = 7,427.21