Finding the Third Proportional to 12,186 and 17,813.25

Step by Step Solution

1. Step 1: Write the proportion equation
   12,186 : 17,813.25 = 17,813.25 : x
2. Step 2: Convert to fraction form
   12,186/17,813.25 = 17,813.25/x
3. Step 3: Cross multiply
   12,186x = 17,813.25 × 17,813.25
4. Step 4: Simplify right side
   12,186x = 317,311,875.56
5. Step 5: Solve for x
   x = 317,311,875.56/12,186
6. Step 6: Final answer
   x = 26,039.05