Finding the Third Proportional to 10,238.25 and 21,569.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,238.25 : 21,569.25 = 21,569.25 : x
2. Step 2: Convert to fraction form
   10,238.25/21,569.25 = 21,569.25/x
3. Step 3: Cross multiply
   10,238.25x = 21,569.25 × 21,569.25
4. Step 4: Simplify right side
   10,238.25x = 465,232,545.56
5. Step 5: Solve for x
   x = 465,232,545.56/10,238.25
6. Step 6: Final answer
   x = 45,440.63