Finding the Third Proportional to 49,723 and 76,049

Step by Step Solution

1. Step 1: Write the proportion equation
   49,723 : 76,049 = 76,049 : x
2. Step 2: Convert to fraction form
   49,723/76,049 = 76,049/x
3. Step 3: Cross multiply
   49,723x = 76,049 × 76,049
4. Step 4: Simplify right side
   49,723x = 5,783,450,401
5. Step 5: Solve for x
   x = 5,783,450,401/49,723
6. Step 6: Final answer
   x = 116,313.38