Finding the Third Proportional to 10,228.75 and 22,409.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,228.75 : 22,409.25 = 22,409.25 : x
2. Step 2: Convert to fraction form
   10,228.75/22,409.25 = 22,409.25/x
3. Step 3: Cross multiply
   10,228.75x = 22,409.25 × 22,409.25
4. Step 4: Simplify right side
   10,228.75x = 502,174,485.56
5. Step 5: Solve for x
   x = 502,174,485.56/10,228.75
6. Step 6: Final answer
   x = 49,094.41