Finding the Third Proportional to 12,393 and 17,665

Step by Step Solution

1. Step 1: Write the proportion equation
   12,393 : 17,665 = 17,665 : x
2. Step 2: Convert to fraction form
   12,393/17,665 = 17,665/x
3. Step 3: Cross multiply
   12,393x = 17,665 × 17,665
4. Step 4: Simplify right side
   12,393x = 312,052,225
5. Step 5: Solve for x
   x = 312,052,225/12,393
6. Step 6: Final answer
   x = 25,179.72