Finding the Third Proportional to 2,147.25 and 3,524.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,147.25 : 3,524.63 = 3,524.63 : x
2. Step 2: Convert to fraction form
   2,147.25/3,524.63 = 3,524.63/x
3. Step 3: Cross multiply
   2,147.25x = 3,524.63 × 3,524.63
4. Step 4: Simplify right side
   2,147.25x = 12,422,981.39
5. Step 5: Solve for x
   x = 12,422,981.39/2,147.25
6. Step 6: Final answer
   x = 5,785.53