Finding the Third Proportional to 49,109 and 73,582

Step by Step Solution

1. Step 1: Write the proportion equation
   49,109 : 73,582 = 73,582 : x
2. Step 2: Convert to fraction form
   49,109/73,582 = 73,582/x
3. Step 3: Cross multiply
   49,109x = 73,582 × 73,582
4. Step 4: Simplify right side
   49,109x = 5,414,310,724
5. Step 5: Solve for x
   x = 5,414,310,724/49,109
6. Step 6: Final answer
   x = 110,250.89