Finding the Third Proportional to 10,388.25 and 22,233.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,388.25 : 22,233.75 = 22,233.75 : x
2. Step 2: Convert to fraction form
   10,388.25/22,233.75 = 22,233.75/x
3. Step 3: Cross multiply
   10,388.25x = 22,233.75 × 22,233.75
4. Step 4: Simplify right side
   10,388.25x = 494,339,639.06
5. Step 5: Solve for x
   x = 494,339,639.06/10,388.25
6. Step 6: Final answer
   x = 47,586.42