Finding the Third Proportional to 2,612.25 and 3,661.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,612.25 : 3,661.88 = 3,661.88 : x
2. Step 2: Convert to fraction form
   2,612.25/3,661.88 = 3,661.88/x
3. Step 3: Cross multiply
   2,612.25x = 3,661.88 × 3,661.88
4. Step 4: Simplify right side
   2,612.25x = 13,409,328.52
5. Step 5: Solve for x
   x = 13,409,328.52/2,612.25
6. Step 6: Final answer
   x = 5,133.25