Finding the Third Proportional to 8,189.86 and 10,974.87

Step by Step Solution

1. Step 1: Write the proportion equation
   8,189.86 : 10,974.87 = 10,974.87 : x
2. Step 2: Convert to fraction form
   8,189.86/10,974.87 = 10,974.87/x
3. Step 3: Cross multiply
   8,189.86x = 10,974.87 × 10,974.87
4. Step 4: Simplify right side
   8,189.86x = 120,447,709.78
5. Step 5: Solve for x
   x = 120,447,709.78/8,189.86
6. Step 6: Final answer
   x = 14,706.93