Finding the Third Proportional to 10,196.25 and 22,399.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,196.25 : 22,399.50 = 22,399.50 : x
2. Step 2: Convert to fraction form
   10,196.25/22,399.50 = 22,399.50/x
3. Step 3: Cross multiply
   10,196.25x = 22,399.50 × 22,399.50
4. Step 4: Simplify right side
   10,196.25x = 501,737,600.25
5. Step 5: Solve for x
   x = 501,737,600.25/10,196.25
6. Step 6: Final answer
   x = 49,208.05