Finding the Third Proportional to 32,193 and 49,541.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,193 : 49,541.50 = 49,541.50 : x
2. Step 2: Convert to fraction form
   32,193/49,541.50 = 49,541.50/x
3. Step 3: Cross multiply
   32,193x = 49,541.50 × 49,541.50
4. Step 4: Simplify right side
   32,193x = 2,454,360,222.25
5. Step 5: Solve for x
   x = 2,454,360,222.25/32,193
6. Step 6: Final answer
   x = 76,238.94