Finding the Third Proportional to 31,646 and 74,687

Step by Step Solution

1. Step 1: Write the proportion equation
   31,646 : 74,687 = 74,687 : x
2. Step 2: Convert to fraction form
   31,646/74,687 = 74,687/x
3. Step 3: Cross multiply
   31,646x = 74,687 × 74,687
4. Step 4: Simplify right side
   31,646x = 5,578,147,969
5. Step 5: Solve for x
   x = 5,578,147,969/31,646
6. Step 6: Final answer
   x = 176,267.08