Finding the Third Proportional to 12,083.25 and 17,661

Step by Step Solution

1. Step 1: Write the proportion equation
   12,083.25 : 17,661 = 17,661 : x
2. Step 2: Convert to fraction form
   12,083.25/17,661 = 17,661/x
3. Step 3: Cross multiply
   12,083.25x = 17,661 × 17,661
4. Step 4: Simplify right side
   12,083.25x = 311,910,921
5. Step 5: Solve for x
   x = 311,910,921/12,083.25
6. Step 6: Final answer
   x = 25,813.50