Finding the Third Proportional to 2,537 and 3,717.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,537 : 3,717.50 = 3,717.50 : x
2. Step 2: Convert to fraction form
   2,537/3,717.50 = 3,717.50/x
3. Step 3: Cross multiply
   2,537x = 3,717.50 × 3,717.50
4. Step 4: Simplify right side
   2,537x = 13,819,806.25
5. Step 5: Solve for x
   x = 13,819,806.25/2,537
6. Step 6: Final answer
   x = 5,447.30