Finding the Third Proportional to 49,149 and 73,639.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,149 : 73,639.50 = 73,639.50 : x
2. Step 2: Convert to fraction form
   49,149/73,639.50 = 73,639.50/x
3. Step 3: Cross multiply
   49,149x = 73,639.50 × 73,639.50
4. Step 4: Simplify right side
   49,149x = 5,422,775,960.25
5. Step 5: Solve for x
   x = 5,422,775,960.25/49,149
6. Step 6: Final answer
   x = 110,333.39