Finding the Third Proportional to 6,792.75 and 12,582.56

Step by Step Solution

1. Step 1: Write the proportion equation
   6,792.75 : 12,582.56 = 12,582.56 : x
2. Step 2: Convert to fraction form
   6,792.75/12,582.56 = 12,582.56/x
3. Step 3: Cross multiply
   6,792.75x = 12,582.56 × 12,582.56
4. Step 4: Simplify right side
   6,792.75x = 158,320,879.07
5. Step 5: Solve for x
   x = 158,320,879.07/6,792.75
6. Step 6: Final answer
   x = 23,307.33