Finding the Third Proportional to 10,238.25 and 22,116.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,238.25 : 22,116.75 = 22,116.75 : x
2. Step 2: Convert to fraction form
   10,238.25/22,116.75 = 22,116.75/x
3. Step 3: Cross multiply
   10,238.25x = 22,116.75 × 22,116.75
4. Step 4: Simplify right side
   10,238.25x = 489,150,630.56
5. Step 5: Solve for x
   x = 489,150,630.56/10,238.25
6. Step 6: Final answer
   x = 47,776.78