Finding the Third Proportional to 23,538 and 31,962

Step by Step Solution

1. Step 1: Write the proportion equation
   23,538 : 31,962 = 31,962 : x
2. Step 2: Convert to fraction form
   23,538/31,962 = 31,962/x
3. Step 3: Cross multiply
   23,538x = 31,962 × 31,962
4. Step 4: Simplify right side
   23,538x = 1,021,569,444
5. Step 5: Solve for x
   x = 1,021,569,444/23,538
6. Step 6: Final answer
   x = 43,400.86