Finding the Third Proportional to 49,724 and 74,626

Step by Step Solution

1. Step 1: Write the proportion equation
   49,724 : 74,626 = 74,626 : x
2. Step 2: Convert to fraction form
   49,724/74,626 = 74,626/x
3. Step 3: Cross multiply
   49,724x = 74,626 × 74,626
4. Step 4: Simplify right side
   49,724x = 5,569,039,876
5. Step 5: Solve for x
   x = 5,569,039,876/49,724
6. Step 6: Final answer
   x = 111,999.03