Finding the Third Proportional to 10,993.50 and 23,224.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,993.50 : 23,224.50 = 23,224.50 : x
2. Step 2: Convert to fraction form
   10,993.50/23,224.50 = 23,224.50/x
3. Step 3: Cross multiply
   10,993.50x = 23,224.50 × 23,224.50
4. Step 4: Simplify right side
   10,993.50x = 539,377,400.25
5. Step 5: Solve for x
   x = 539,377,400.25/10,993.50
6. Step 6: Final answer
   x = 49,063.30