Finding the Third Proportional to 12,186 and 20,254.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,186 : 20,254.50 = 20,254.50 : x
2. Step 2: Convert to fraction form
   12,186/20,254.50 = 20,254.50/x
3. Step 3: Cross multiply
   12,186x = 20,254.50 × 20,254.50
4. Step 4: Simplify right side
   12,186x = 410,244,770.25
5. Step 5: Solve for x
   x = 410,244,770.25/12,186
6. Step 6: Final answer
   x = 33,665.25