Finding the Third Proportional to 31,976 and 74,687

Step by Step Solution

1. Step 1: Write the proportion equation
   31,976 : 74,687 = 74,687 : x
2. Step 2: Convert to fraction form
   31,976/74,687 = 74,687/x
3. Step 3: Cross multiply
   31,976x = 74,687 × 74,687
4. Step 4: Simplify right side
   31,976x = 5,578,147,969
5. Step 5: Solve for x
   x = 5,578,147,969/31,976
6. Step 6: Final answer
   x = 174,447.96