Finding the Third Proportional to 2,617 and 3,917.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,617 : 3,917.50 = 3,917.50 : x
2. Step 2: Convert to fraction form
   2,617/3,917.50 = 3,917.50/x
3. Step 3: Cross multiply
   2,617x = 3,917.50 × 3,917.50
4. Step 4: Simplify right side
   2,617x = 15,346,806.25
5. Step 5: Solve for x
   x = 15,346,806.25/2,617
6. Step 6: Final answer
   x = 5,864.27