Finding the Third Proportional to 10,689 and 22,830

Step by Step Solution

1. Step 1: Write the proportion equation
   10,689 : 22,830 = 22,830 : x
2. Step 2: Convert to fraction form
   10,689/22,830 = 22,830/x
3. Step 3: Cross multiply
   10,689x = 22,830 × 22,830
4. Step 4: Simplify right side
   10,689x = 521,208,900
5. Step 5: Solve for x
   x = 521,208,900/10,689
6. Step 6: Final answer
   x = 48,761.24