Finding the Third Proportional to 2,272.75 and 4,820.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,272.75 : 4,820.25 = 4,820.25 : x
2. Step 2: Convert to fraction form
   2,272.75/4,820.25 = 4,820.25/x
3. Step 3: Cross multiply
   2,272.75x = 4,820.25 × 4,820.25
4. Step 4: Simplify right side
   2,272.75x = 23,234,810.06
5. Step 5: Solve for x
   x = 23,234,810.06/2,272.75
6. Step 6: Final answer
   x = 10,223.21