Finding the Third Proportional to 2,202.61 and 4,822.03

Step by Step Solution

1. Step 1: Write the proportion equation
   2,202.61 : 4,822.03 = 4,822.03 : x
2. Step 2: Convert to fraction form
   2,202.61/4,822.03 = 4,822.03/x
3. Step 3: Cross multiply
   2,202.61x = 4,822.03 × 4,822.03
4. Step 4: Simplify right side
   2,202.61x = 23,251,985.38
5. Step 5: Solve for x
   x = 23,251,985.38/2,202.61
6. Step 6: Final answer
   x = 10,556.56