Finding the Third Proportional to 3,632.50 and 8,087.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,632.50 : 8,087.50 = 8,087.50 : x
2. Step 2: Convert to fraction form
   3,632.50/8,087.50 = 8,087.50/x
3. Step 3: Cross multiply
   3,632.50x = 8,087.50 × 8,087.50
4. Step 4: Simplify right side
   3,632.50x = 65,407,656.25
5. Step 5: Solve for x
   x = 65,407,656.25/3,632.50
6. Step 6: Final answer
   x = 18,006.24