Finding the Third Proportional to 9,083.50 and 12,509

Step by Step Solution

1. Step 1: Write the proportion equation
   9,083.50 : 12,509 = 12,509 : x
2. Step 2: Convert to fraction form
   9,083.50/12,509 = 12,509/x
3. Step 3: Cross multiply
   9,083.50x = 12,509 × 12,509
4. Step 4: Simplify right side
   9,083.50x = 156,475,081
5. Step 5: Solve for x
   x = 156,475,081/9,083.50
6. Step 6: Final answer
   x = 17,226.30