Finding the Third Proportional to 20,827 and 32,257.50

Step by Step Solution

1. Step 1: Write the proportion equation
   20,827 : 32,257.50 = 32,257.50 : x
2. Step 2: Convert to fraction form
   20,827/32,257.50 = 32,257.50/x
3. Step 3: Cross multiply
   20,827x = 32,257.50 × 32,257.50
4. Step 4: Simplify right side
   20,827x = 1,040,546,306.25
5. Step 5: Solve for x
   x = 1,040,546,306.25/20,827
6. Step 6: Final answer
   x = 49,961.41