Finding the Third Proportional to 3,242.50 and 7,112.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,242.50 : 7,112.50 = 7,112.50 : x
2. Step 2: Convert to fraction form
   3,242.50/7,112.50 = 7,112.50/x
3. Step 3: Cross multiply
   3,242.50x = 7,112.50 × 7,112.50
4. Step 4: Simplify right side
   3,242.50x = 50,587,656.25
5. Step 5: Solve for x
   x = 50,587,656.25/3,242.50
6. Step 6: Final answer
   x = 15,601.44