Finding the Third Proportional to 2,252.25 and 3,499.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,252.25 : 3,499.88 = 3,499.88 : x
2. Step 2: Convert to fraction form
   2,252.25/3,499.88 = 3,499.88/x
3. Step 3: Cross multiply
   2,252.25x = 3,499.88 × 3,499.88
4. Step 4: Simplify right side
   2,252.25x = 12,249,125.02
5. Step 5: Solve for x
   x = 12,249,125.02/2,252.25
6. Step 6: Final answer
   x = 5,438.62