Finding the Third Proportional to 23,540 and 31,965

Step by Step Solution

1. Step 1: Write the proportion equation
   23,540 : 31,965 = 31,965 : x
2. Step 2: Convert to fraction form
   23,540/31,965 = 31,965/x
3. Step 3: Cross multiply
   23,540x = 31,965 × 31,965
4. Step 4: Simplify right side
   23,540x = 1,021,761,225
5. Step 5: Solve for x
   x = 1,021,761,225/23,540
6. Step 6: Final answer
   x = 43,405.32