Finding the Third Proportional to 10,224.75 and 21,906.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,224.75 : 21,906.38 = 21,906.38 : x
2. Step 2: Convert to fraction form
   10,224.75/21,906.38 = 21,906.38/x
3. Step 3: Cross multiply
   10,224.75x = 21,906.38 × 21,906.38
4. Step 4: Simplify right side
   10,224.75x = 479,889,265.64
5. Step 5: Solve for x
   x = 479,889,265.64/10,224.75
6. Step 6: Final answer
   x = 46,934.08