Finding the Third Proportional to 10,775 and 16,636.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,775 : 16,636.50 = 16,636.50 : x
2. Step 2: Convert to fraction form
   10,775/16,636.50 = 16,636.50/x
3. Step 3: Cross multiply
   10,775x = 16,636.50 × 16,636.50
4. Step 4: Simplify right side
   10,775x = 276,773,132.25
5. Step 5: Solve for x
   x = 276,773,132.25/10,775
6. Step 6: Final answer
   x = 25,686.60