Finding the Third Proportional to 10,366 and 16,665

Step by Step Solution

1. Step 1: Write the proportion equation
   10,366 : 16,665 = 16,665 : x
2. Step 2: Convert to fraction form
   10,366/16,665 = 16,665/x
3. Step 3: Cross multiply
   10,366x = 16,665 × 16,665
4. Step 4: Simplify right side
   10,366x = 277,722,225
5. Step 5: Solve for x
   x = 277,722,225/10,366
6. Step 6: Final answer
   x = 26,791.65