Finding the Third Proportional to 7,186 and 10,835

Step by Step Solution

1. Step 1: Write the proportion equation
   7,186 : 10,835 = 10,835 : x
2. Step 2: Convert to fraction form
   7,186/10,835 = 10,835/x
3. Step 3: Cross multiply
   7,186x = 10,835 × 10,835
4. Step 4: Simplify right side
   7,186x = 117,397,225
5. Step 5: Solve for x
   x = 117,397,225/7,186
6. Step 6: Final answer
   x = 16,336.94