Finding the Third Proportional to 20,758 and 32,195

Step by Step Solution

1. Step 1: Write the proportion equation
   20,758 : 32,195 = 32,195 : x
2. Step 2: Convert to fraction form
   20,758/32,195 = 32,195/x
3. Step 3: Cross multiply
   20,758x = 32,195 × 32,195
4. Step 4: Simplify right side
   20,758x = 1,036,518,025
5. Step 5: Solve for x
   x = 1,036,518,025/20,758
6. Step 6: Final answer
   x = 49,933.42