Finding the Third Proportional to 2,084.06 and 4,530.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,084.06 : 4,530.38 = 4,530.38 : x
2. Step 2: Convert to fraction form
   2,084.06/4,530.38 = 4,530.38/x
3. Step 3: Cross multiply
   2,084.06x = 4,530.38 × 4,530.38
4. Step 4: Simplify right side
   2,084.06x = 20,524,297.64
5. Step 5: Solve for x
   x = 20,524,297.64/2,084.06
6. Step 6: Final answer
   x = 9,848.22