Finding the Third Proportional to 10,786.78 and 14,573.67

Step by Step Solution

1. Step 1: Write the proportion equation
   10,786.78 : 14,573.67 = 14,573.67 : x
2. Step 2: Convert to fraction form
   10,786.78/14,573.67 = 14,573.67/x
3. Step 3: Cross multiply
   10,786.78x = 14,573.67 × 14,573.67
4. Step 4: Simplify right side
   10,786.78x = 212,391,911.92
5. Step 5: Solve for x
   x = 212,391,911.92/10,786.78
6. Step 6: Final answer
   x = 19,690.02