Finding the Third Proportional to 2,601 and 3,937.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,601 : 3,937.50 = 3,937.50 : x
2. Step 2: Convert to fraction form
   2,601/3,937.50 = 3,937.50/x
3. Step 3: Cross multiply
   2,601x = 3,937.50 × 3,937.50
4. Step 4: Simplify right side
   2,601x = 15,503,906.25
5. Step 5: Solve for x
   x = 15,503,906.25/2,601
6. Step 6: Final answer
   x = 5,960.75