Finding the Third Proportional to 32,067 and 49,747.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,067 : 49,747.50 = 49,747.50 : x
2. Step 2: Convert to fraction form
   32,067/49,747.50 = 49,747.50/x
3. Step 3: Cross multiply
   32,067x = 49,747.50 × 49,747.50
4. Step 4: Simplify right side
   32,067x = 2,474,813,756.25
5. Step 5: Solve for x
   x = 2,474,813,756.25/32,067
6. Step 6: Final answer
   x = 77,176.34