Finding the Third Proportional to 23,653 and 31,561

Step by Step Solution

1. Step 1: Write the proportion equation
   23,653 : 31,561 = 31,561 : x
2. Step 2: Convert to fraction form
   23,653/31,561 = 31,561/x
3. Step 3: Cross multiply
   23,653x = 31,561 × 31,561
4. Step 4: Simplify right side
   23,653x = 996,096,721
5. Step 5: Solve for x
   x = 996,096,721/23,653
6. Step 6: Final answer
   x = 42,112.91