Finding the Third Proportional to 10,238.25 and 15,293.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,238.25 : 15,293.25 = 15,293.25 : x
2. Step 2: Convert to fraction form
   10,238.25/15,293.25 = 15,293.25/x
3. Step 3: Cross multiply
   10,238.25x = 15,293.25 × 15,293.25
4. Step 4: Simplify right side
   10,238.25x = 233,883,495.56
5. Step 5: Solve for x
   x = 233,883,495.56/10,238.25
6. Step 6: Final answer
   x = 22,844.09