Finding the Third Proportional to 3,022.50 and 4,535.06

Step by Step Solution

1. Step 1: Write the proportion equation
   3,022.50 : 4,535.06 = 4,535.06 : x
2. Step 2: Convert to fraction form
   3,022.50/4,535.06 = 4,535.06/x
3. Step 3: Cross multiply
   3,022.50x = 4,535.06 × 4,535.06
4. Step 4: Simplify right side
   3,022.50x = 20,566,791.88
5. Step 5: Solve for x
   x = 20,566,791.88/3,022.50
6. Step 6: Final answer
   x = 6,804.56