Finding the Third Proportional to 2,417.50 and 3,617

Step by Step Solution

1. Step 1: Write the proportion equation
   2,417.50 : 3,617 = 3,617 : x
2. Step 2: Convert to fraction form
   2,417.50/3,617 = 3,617/x
3. Step 3: Cross multiply
   2,417.50x = 3,617 × 3,617
4. Step 4: Simplify right side
   2,417.50x = 13,082,689
5. Step 5: Solve for x
   x = 13,082,689/2,417.50
6. Step 6: Final answer
   x = 5,411.66