Finding the Third Proportional to 6,057.75 and 12,978.75

Step by Step Solution

1. Step 1: Write the proportion equation
   6,057.75 : 12,978.75 = 12,978.75 : x
2. Step 2: Convert to fraction form
   6,057.75/12,978.75 = 12,978.75/x
3. Step 3: Cross multiply
   6,057.75x = 12,978.75 × 12,978.75
4. Step 4: Simplify right side
   6,057.75x = 168,447,951.56
5. Step 5: Solve for x
   x = 168,447,951.56/6,057.75
6. Step 6: Final answer
   x = 27,807.02