Finding the Third Proportional to 31,032 and 41,496

Step by Step Solution

1. Step 1: Write the proportion equation
   31,032 : 41,496 = 41,496 : x
2. Step 2: Convert to fraction form
   31,032/41,496 = 41,496/x
3. Step 3: Cross multiply
   31,032x = 41,496 × 41,496
4. Step 4: Simplify right side
   31,032x = 1,721,918,016
5. Step 5: Solve for x
   x = 1,721,918,016/31,032
6. Step 6: Final answer
   x = 55,488.46