Finding the Third Proportional to 8,291.75 and 12,839.25

Step by Step Solution

1. Step 1: Write the proportion equation
   8,291.75 : 12,839.25 = 12,839.25 : x
2. Step 2: Convert to fraction form
   8,291.75/12,839.25 = 12,839.25/x
3. Step 3: Cross multiply
   8,291.75x = 12,839.25 × 12,839.25
4. Step 4: Simplify right side
   8,291.75x = 164,846,340.56
5. Step 5: Solve for x
   x = 164,846,340.56/8,291.75
6. Step 6: Final answer
   x = 19,880.77