Finding the Third Proportional to 17,738 and 23,665

Step by Step Solution

1. Step 1: Write the proportion equation
   17,738 : 23,665 = 23,665 : x
2. Step 2: Convert to fraction form
   17,738/23,665 = 23,665/x
3. Step 3: Cross multiply
   17,738x = 23,665 × 23,665
4. Step 4: Simplify right side
   17,738x = 560,032,225
5. Step 5: Solve for x
   x = 560,032,225/17,738
6. Step 6: Final answer
   x = 31,572.46