Finding the Third Proportional to 2,082.80 and 4,473.98

Step by Step Solution

1. Step 1: Write the proportion equation
   2,082.80 : 4,473.98 = 4,473.98 : x
2. Step 2: Convert to fraction form
   2,082.80/4,473.98 = 4,473.98/x
3. Step 3: Cross multiply
   2,082.80x = 4,473.98 × 4,473.98
4. Step 4: Simplify right side
   2,082.80x = 20,016,536.19
5. Step 5: Solve for x
   x = 20,016,536.19/2,082.80
6. Step 6: Final answer
   x = 9,610.41