Finding the Third Proportional to 3,020.50 and 4,697.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,020.50 : 4,697.50 = 4,697.50 : x
2. Step 2: Convert to fraction form
   3,020.50/4,697.50 = 4,697.50/x
3. Step 3: Cross multiply
   3,020.50x = 4,697.50 × 4,697.50
4. Step 4: Simplify right side
   3,020.50x = 22,066,506.25
5. Step 5: Solve for x
   x = 22,066,506.25/3,020.50
6. Step 6: Final answer
   x = 7,305.58