Finding the Third Proportional to 5,227.88 and 12,644.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,227.88 : 12,644.25 = 12,644.25 : x
2. Step 2: Convert to fraction form
   5,227.88/12,644.25 = 12,644.25/x
3. Step 3: Cross multiply
   5,227.88x = 12,644.25 × 12,644.25
4. Step 4: Simplify right side
   5,227.88x = 159,877,058.06
5. Step 5: Solve for x
   x = 159,877,058.06/5,227.88
6. Step 6: Final answer
   x = 30,581.65