Finding the Third Proportional to 2,417 and 3,267.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,417 : 3,267.50 = 3,267.50 : x
2. Step 2: Convert to fraction form
   2,417/3,267.50 = 3,267.50/x
3. Step 3: Cross multiply
   2,417x = 3,267.50 × 3,267.50
4. Step 4: Simplify right side
   2,417x = 10,676,556.25
5. Step 5: Solve for x
   x = 10,676,556.25/2,417
6. Step 6: Final answer
   x = 4,417.28