Finding the Third Proportional to 2,272.13 and 3,625.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,272.13 : 3,625.88 = 3,625.88 : x
2. Step 2: Convert to fraction form
   2,272.13/3,625.88 = 3,625.88/x
3. Step 3: Cross multiply
   2,272.13x = 3,625.88 × 3,625.88
4. Step 4: Simplify right side
   2,272.13x = 13,146,969.52
5. Step 5: Solve for x
   x = 13,146,969.52/2,272.13
6. Step 6: Final answer
   x = 5,786.20