Finding the Third Proportional to 6,096.75 and 12,679.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,096.75 : 12,679.50 = 12,679.50 : x
2. Step 2: Convert to fraction form
   6,096.75/12,679.50 = 12,679.50/x
3. Step 3: Cross multiply
   6,096.75x = 12,679.50 × 12,679.50
4. Step 4: Simplify right side
   6,096.75x = 160,769,720.25
5. Step 5: Solve for x
   x = 160,769,720.25/6,096.75
6. Step 6: Final answer
   x = 26,369.74