Finding the Third Proportional to 10,911 and 16,780.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,911 : 16,780.50 = 16,780.50 : x
2. Step 2: Convert to fraction form
   10,911/16,780.50 = 16,780.50/x
3. Step 3: Cross multiply
   10,911x = 16,780.50 × 16,780.50
4. Step 4: Simplify right side
   10,911x = 281,585,180.25
5. Step 5: Solve for x
   x = 281,585,180.25/10,911
6. Step 6: Final answer
   x = 25,807.46