Finding the Third Proportional to 2,578.50 and 3,534

Step by Step Solution

1. Step 1: Write the proportion equation
   2,578.50 : 3,534 = 3,534 : x
2. Step 2: Convert to fraction form
   2,578.50/3,534 = 3,534/x
3. Step 3: Cross multiply
   2,578.50x = 3,534 × 3,534
4. Step 4: Simplify right side
   2,578.50x = 12,489,156
5. Step 5: Solve for x
   x = 12,489,156/2,578.50
6. Step 6: Final answer
   x = 4,843.57