Finding the Third Proportional to 2,087.50 and 3,911.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,087.50 : 3,911.50 = 3,911.50 : x
2. Step 2: Convert to fraction form
   2,087.50/3,911.50 = 3,911.50/x
3. Step 3: Cross multiply
   2,087.50x = 3,911.50 × 3,911.50
4. Step 4: Simplify right side
   2,087.50x = 15,299,832.25
5. Step 5: Solve for x
   x = 15,299,832.25/2,087.50
6. Step 6: Final answer
   x = 7,329.26