Finding the Third Proportional to 49,872 and 74,639.25

Step by Step Solution

1. Step 1: Write the proportion equation
   49,872 : 74,639.25 = 74,639.25 : x
2. Step 2: Convert to fraction form
   49,872/74,639.25 = 74,639.25/x
3. Step 3: Cross multiply
   49,872x = 74,639.25 × 74,639.25
4. Step 4: Simplify right side
   49,872x = 5,571,017,640.56
5. Step 5: Solve for x
   x = 5,571,017,640.56/49,872
6. Step 6: Final answer
   x = 111,706.32