Finding the Third Proportional to 10,644 and 25,770

Step by Step Solution

1. Step 1: Write the proportion equation
   10,644 : 25,770 = 25,770 : x
2. Step 2: Convert to fraction form
   10,644/25,770 = 25,770/x
3. Step 3: Cross multiply
   10,644x = 25,770 × 25,770
4. Step 4: Simplify right side
   10,644x = 664,092,900
5. Step 5: Solve for x
   x = 664,092,900/10,644
6. Step 6: Final answer
   x = 62,391.29