Finding the Third Proportional to 8,227.50 and 12,762

Step by Step Solution

1. Step 1: Write the proportion equation
   8,227.50 : 12,762 = 12,762 : x
2. Step 2: Convert to fraction form
   8,227.50/12,762 = 12,762/x
3. Step 3: Cross multiply
   8,227.50x = 12,762 × 12,762
4. Step 4: Simplify right side
   8,227.50x = 162,868,644
5. Step 5: Solve for x
   x = 162,868,644/8,227.50
6. Step 6: Final answer
   x = 19,795.64