Finding the Third Proportional to 2,222.50 and 4,908.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,222.50 : 4,908.25 = 4,908.25 : x
2. Step 2: Convert to fraction form
   2,222.50/4,908.25 = 4,908.25/x
3. Step 3: Cross multiply
   2,222.50x = 4,908.25 × 4,908.25
4. Step 4: Simplify right side
   2,222.50x = 24,090,918.06
5. Step 5: Solve for x
   x = 24,090,918.06/2,222.50
6. Step 6: Final answer
   x = 10,839.56