Finding the Third Proportional to 10,751 and 16,288.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,751 : 16,288.50 = 16,288.50 : x
2. Step 2: Convert to fraction form
   10,751/16,288.50 = 16,288.50/x
3. Step 3: Cross multiply
   10,751x = 16,288.50 × 16,288.50
4. Step 4: Simplify right side
   10,751x = 265,315,232.25
5. Step 5: Solve for x
   x = 265,315,232.25/10,751
6. Step 6: Final answer
   x = 24,678.19