Finding the Third Proportional to 31,304 and 73,823

Step by Step Solution

1. Step 1: Write the proportion equation
   31,304 : 73,823 = 73,823 : x
2. Step 2: Convert to fraction form
   31,304/73,823 = 73,823/x
3. Step 3: Cross multiply
   31,304x = 73,823 × 73,823
4. Step 4: Simplify right side
   31,304x = 5,449,835,329
5. Step 5: Solve for x
   x = 5,449,835,329/31,304
6. Step 6: Final answer
   x = 174,093.90