Finding the Third Proportional to 5,940.75 and 12,677.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,940.75 : 12,677.25 = 12,677.25 : x
2. Step 2: Convert to fraction form
   5,940.75/12,677.25 = 12,677.25/x
3. Step 3: Cross multiply
   5,940.75x = 12,677.25 × 12,677.25
4. Step 4: Simplify right side
   5,940.75x = 160,712,667.56
5. Step 5: Solve for x
   x = 160,712,667.56/5,940.75
6. Step 6: Final answer
   x = 27,052.59