Finding the Third Proportional to 2,549.50 and 3,590.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,549.50 : 3,590.25 = 3,590.25 : x
2. Step 2: Convert to fraction form
   2,549.50/3,590.25 = 3,590.25/x
3. Step 3: Cross multiply
   2,549.50x = 3,590.25 × 3,590.25
4. Step 4: Simplify right side
   2,549.50x = 12,889,895.06
5. Step 5: Solve for x
   x = 12,889,895.06/2,549.50
6. Step 6: Final answer
   x = 5,055.85