Finding the Third Proportional to 2,537.50 and 3,621

Step by Step Solution

1. Step 1: Write the proportion equation
   2,537.50 : 3,621 = 3,621 : x
2. Step 2: Convert to fraction form
   2,537.50/3,621 = 3,621/x
3. Step 3: Cross multiply
   2,537.50x = 3,621 × 3,621
4. Step 4: Simplify right side
   2,537.50x = 13,111,641
5. Step 5: Solve for x
   x = 13,111,641/2,537.50
6. Step 6: Final answer
   x = 5,167.15