Finding the Third Proportional to 2,185 and 3,213.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,185 : 3,213.50 = 3,213.50 : x
2. Step 2: Convert to fraction form
   2,185/3,213.50 = 3,213.50/x
3. Step 3: Cross multiply
   2,185x = 3,213.50 × 3,213.50
4. Step 4: Simplify right side
   2,185x = 10,326,582.25
5. Step 5: Solve for x
   x = 10,326,582.25/2,185
6. Step 6: Final answer
   x = 4,726.12