Finding the Third Proportional to 2,022.50 and 3,242.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,022.50 : 3,242.50 = 3,242.50 : x
2. Step 2: Convert to fraction form
   2,022.50/3,242.50 = 3,242.50/x
3. Step 3: Cross multiply
   2,022.50x = 3,242.50 × 3,242.50
4. Step 4: Simplify right side
   2,022.50x = 10,513,806.25
5. Step 5: Solve for x
   x = 10,513,806.25/2,022.50
6. Step 6: Final answer
   x = 5,198.42