Finding the Third Proportional to 8,223.75 and 12,756.94

Step by Step Solution

1. Step 1: Write the proportion equation
   8,223.75 : 12,756.94 = 12,756.94 : x
2. Step 2: Convert to fraction form
   8,223.75/12,756.94 = 12,756.94/x
3. Step 3: Cross multiply
   8,223.75x = 12,756.94 × 12,756.94
4. Step 4: Simplify right side
   8,223.75x = 162,739,454.38
5. Step 5: Solve for x
   x = 162,739,454.38/8,223.75
6. Step 6: Final answer
   x = 19,788.96