Finding the Third Proportional to 10,863 and 17,509.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,863 : 17,509.50 = 17,509.50 : x
2. Step 2: Convert to fraction form
   10,863/17,509.50 = 17,509.50/x
3. Step 3: Cross multiply
   10,863x = 17,509.50 × 17,509.50
4. Step 4: Simplify right side
   10,863x = 306,582,590.25
5. Step 5: Solve for x
   x = 306,582,590.25/10,863
6. Step 6: Final answer
   x = 28,222.64