Finding the Third Proportional to 10,919.75 and 23,269.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,919.75 : 23,269.50 = 23,269.50 : x
2. Step 2: Convert to fraction form
   10,919.75/23,269.50 = 23,269.50/x
3. Step 3: Cross multiply
   10,919.75x = 23,269.50 × 23,269.50
4. Step 4: Simplify right side
   10,919.75x = 541,469,630.25
5. Step 5: Solve for x
   x = 541,469,630.25/10,919.75
6. Step 6: Final answer
   x = 49,586.27