Finding the Third Proportional to 1,884.20 and 4,556.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,884.20 : 4,556.72 = 4,556.72 : x
2. Step 2: Convert to fraction form
   1,884.20/4,556.72 = 4,556.72/x
3. Step 3: Cross multiply
   1,884.20x = 4,556.72 × 4,556.72
4. Step 4: Simplify right side
   1,884.20x = 20,763,739.17
5. Step 5: Solve for x
   x = 20,763,739.17/1,884.20
6. Step 6: Final answer
   x = 11,019.93