Finding the Third Proportional to 5,970.75 and 12,978.38

Step by Step Solution

1. Step 1: Write the proportion equation
   5,970.75 : 12,978.38 = 12,978.38 : x
2. Step 2: Convert to fraction form
   5,970.75/12,978.38 = 12,978.38/x
3. Step 3: Cross multiply
   5,970.75x = 12,978.38 × 12,978.38
4. Step 4: Simplify right side
   5,970.75x = 168,438,217.64
5. Step 5: Solve for x
   x = 168,438,217.64/5,970.75
6. Step 6: Final answer
   x = 28,210.56