Finding the Third Proportional to 10,827 and 20,250

Step by Step Solution

1. Step 1: Write the proportion equation
   10,827 : 20,250 = 20,250 : x
2. Step 2: Convert to fraction form
   10,827/20,250 = 20,250/x
3. Step 3: Cross multiply
   10,827x = 20,250 × 20,250
4. Step 4: Simplify right side
   10,827x = 410,062,500
5. Step 5: Solve for x
   x = 410,062,500/10,827
6. Step 6: Final answer
   x = 37,874.06