Finding the Third Proportional to 5,939.25 and 12,980.63

Step by Step Solution

1. Step 1: Write the proportion equation
   5,939.25 : 12,980.63 = 12,980.63 : x
2. Step 2: Convert to fraction form
   5,939.25/12,980.63 = 12,980.63/x
3. Step 3: Cross multiply
   5,939.25x = 12,980.63 × 12,980.63
4. Step 4: Simplify right side
   5,939.25x = 168,496,625.39
5. Step 5: Solve for x
   x = 168,496,625.39/5,939.25
6. Step 6: Final answer
   x = 28,370.02