Finding the Third Proportional to 8,186 and 12,805.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,186 : 12,805.50 = 12,805.50 : x
2. Step 2: Convert to fraction form
   8,186/12,805.50 = 12,805.50/x
3. Step 3: Cross multiply
   8,186x = 12,805.50 × 12,805.50
4. Step 4: Simplify right side
   8,186x = 163,980,830.25
5. Step 5: Solve for x
   x = 163,980,830.25/8,186
6. Step 6: Final answer
   x = 20,031.86