Finding the Third Proportional to 3,022.50 and 4,796.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,022.50 : 4,796.25 = 4,796.25 : x
2. Step 2: Convert to fraction form
   3,022.50/4,796.25 = 4,796.25/x
3. Step 3: Cross multiply
   3,022.50x = 4,796.25 × 4,796.25
4. Step 4: Simplify right side
   3,022.50x = 23,004,014.06
5. Step 5: Solve for x
   x = 23,004,014.06/3,022.50
6. Step 6: Final answer
   x = 7,610.92