Finding the Third Proportional to 10,925.25 and 16,786.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,925.25 : 16,786.50 = 16,786.50 : x
2. Step 2: Convert to fraction form
   10,925.25/16,786.50 = 16,786.50/x
3. Step 3: Cross multiply
   10,925.25x = 16,786.50 × 16,786.50
4. Step 4: Simplify right side
   10,925.25x = 281,786,582.25
5. Step 5: Solve for x
   x = 281,786,582.25/10,925.25
6. Step 6: Final answer
   x = 25,792.23