Finding the Third Proportional to 2,532 and 3,880

Step by Step Solution

1. Step 1: Write the proportion equation
   2,532 : 3,880 = 3,880 : x
2. Step 2: Convert to fraction form
   2,532/3,880 = 3,880/x
3. Step 3: Cross multiply
   2,532x = 3,880 × 3,880
4. Step 4: Simplify right side
   2,532x = 15,054,400
5. Step 5: Solve for x
   x = 15,054,400/2,532
6. Step 6: Final answer
   x = 5,945.66