Finding the Third Proportional to 4,698.50 and 7,033.25

Step by Step Solution

1. Step 1: Write the proportion equation
   4,698.50 : 7,033.25 = 7,033.25 : x
2. Step 2: Convert to fraction form
   4,698.50/7,033.25 = 7,033.25/x
3. Step 3: Cross multiply
   4,698.50x = 7,033.25 × 7,033.25
4. Step 4: Simplify right side
   4,698.50x = 49,466,605.56
5. Step 5: Solve for x
   x = 49,466,605.56/4,698.50
6. Step 6: Final answer
   x = 10,528.17