Finding the Third Proportional to 30,682 and 73,896

Step by Step Solution

1. Step 1: Write the proportion equation
   30,682 : 73,896 = 73,896 : x
2. Step 2: Convert to fraction form
   30,682/73,896 = 73,896/x
3. Step 3: Cross multiply
   30,682x = 73,896 × 73,896
4. Step 4: Simplify right side
   30,682x = 5,460,618,816
5. Step 5: Solve for x
   x = 5,460,618,816/30,682
6. Step 6: Final answer
   x = 177,974.67