Finding the Third Proportional to 1,775.25 and 4,221.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,775.25 : 4,221.56 = 4,221.56 : x
2. Step 2: Convert to fraction form
   1,775.25/4,221.56 = 4,221.56/x
3. Step 3: Cross multiply
   1,775.25x = 4,221.56 × 4,221.56
4. Step 4: Simplify right side
   1,775.25x = 17,821,589.94
5. Step 5: Solve for x
   x = 17,821,589.94/1,775.25
6. Step 6: Final answer
   x = 10,038.92