Finding the Third Proportional to 6,186 and 12,979.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,186 : 12,979.50 = 12,979.50 : x
2. Step 2: Convert to fraction form
   6,186/12,979.50 = 12,979.50/x
3. Step 3: Cross multiply
   6,186x = 12,979.50 × 12,979.50
4. Step 4: Simplify right side
   6,186x = 168,467,420.25
5. Step 5: Solve for x
   x = 168,467,420.25/6,186
6. Step 6: Final answer
   x = 27,233.66