Finding the Third Proportional to 4,022.25 and 8,482.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,022.25 : 8,482.50 = 8,482.50 : x
2. Step 2: Convert to fraction form
   4,022.25/8,482.50 = 8,482.50/x
3. Step 3: Cross multiply
   4,022.25x = 8,482.50 × 8,482.50
4. Step 4: Simplify right side
   4,022.25x = 71,952,806.25
5. Step 5: Solve for x
   x = 71,952,806.25/4,022.25
6. Step 6: Final answer
   x = 17,888.70