Finding the Third Proportional to 2,550 and 3,609.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,550 : 3,609.50 = 3,609.50 : x
2. Step 2: Convert to fraction form
   2,550/3,609.50 = 3,609.50/x
3. Step 3: Cross multiply
   2,550x = 3,609.50 × 3,609.50
4. Step 4: Simplify right side
   2,550x = 13,028,490.25
5. Step 5: Solve for x
   x = 13,028,490.25/2,550
6. Step 6: Final answer
   x = 5,109.21