Finding the Third Proportional to 5,928 and 12,675.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,928 : 12,675.50 = 12,675.50 : x
2. Step 2: Convert to fraction form
   5,928/12,675.50 = 12,675.50/x
3. Step 3: Cross multiply
   5,928x = 12,675.50 × 12,675.50
4. Step 4: Simplify right side
   5,928x = 160,668,300.25
5. Step 5: Solve for x
   x = 160,668,300.25/5,928
6. Step 6: Final answer
   x = 27,103.29