Finding the Third Proportional to 2,482 and 3,627.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,482 : 3,627.50 = 3,627.50 : x
2. Step 2: Convert to fraction form
   2,482/3,627.50 = 3,627.50/x
3. Step 3: Cross multiply
   2,482x = 3,627.50 × 3,627.50
4. Step 4: Simplify right side
   2,482x = 13,158,756.25
5. Step 5: Solve for x
   x = 13,158,756.25/2,482
6. Step 6: Final answer
   x = 5,301.67