Finding the Third Proportional to 10,689 and 22,834.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,689 : 22,834.50 = 22,834.50 : x
2. Step 2: Convert to fraction form
   10,689/22,834.50 = 22,834.50/x
3. Step 3: Cross multiply
   10,689x = 22,834.50 × 22,834.50
4. Step 4: Simplify right side
   10,689x = 521,414,390.25
5. Step 5: Solve for x
   x = 521,414,390.25/10,689
6. Step 6: Final answer
   x = 48,780.46