Finding the Third Proportional to 2,232 and 3,584.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,232 : 3,584.25 = 3,584.25 : x
2. Step 2: Convert to fraction form
   2,232/3,584.25 = 3,584.25/x
3. Step 3: Cross multiply
   2,232x = 3,584.25 × 3,584.25
4. Step 4: Simplify right side
   2,232x = 12,846,848.06
5. Step 5: Solve for x
   x = 12,846,848.06/2,232
6. Step 6: Final answer
   x = 5,755.76