Finding the Third Proportional to 10,902 and 16,778.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,902 : 16,778.25 = 16,778.25 : x
2. Step 2: Convert to fraction form
   10,902/16,778.25 = 16,778.25/x
3. Step 3: Cross multiply
   10,902x = 16,778.25 × 16,778.25
4. Step 4: Simplify right side
   10,902x = 281,509,673.06
5. Step 5: Solve for x
   x = 281,509,673.06/10,902
6. Step 6: Final answer
   x = 25,821.84