Finding the Third Proportional to 10,901 and 16,778

Step by Step Solution

1. Step 1: Write the proportion equation
   10,901 : 16,778 = 16,778 : x
2. Step 2: Convert to fraction form
   10,901/16,778 = 16,778/x
3. Step 3: Cross multiply
   10,901x = 16,778 × 16,778
4. Step 4: Simplify right side
   10,901x = 281,501,284
5. Step 5: Solve for x
   x = 281,501,284/10,901
6. Step 6: Final answer
   x = 25,823.44