Finding the Third Proportional to 10,824 and 25,630

Step by Step Solution

1. Step 1: Write the proportion equation
   10,824 : 25,630 = 25,630 : x
2. Step 2: Convert to fraction form
   10,824/25,630 = 25,630/x
3. Step 3: Cross multiply
   10,824x = 25,630 × 25,630
4. Step 4: Simplify right side
   10,824x = 656,896,900
5. Step 5: Solve for x
   x = 656,896,900/10,824
6. Step 6: Final answer
   x = 60,688.92