Finding the Third Proportional to 2,231.63 and 3,188.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,231.63 : 3,188.06 = 3,188.06 : x
2. Step 2: Convert to fraction form
   2,231.63/3,188.06 = 3,188.06/x
3. Step 3: Cross multiply
   2,231.63x = 3,188.06 × 3,188.06
4. Step 4: Simplify right side
   2,231.63x = 10,163,742.50
5. Step 5: Solve for x
   x = 10,163,742.50/2,231.63
6. Step 6: Final answer
   x = 4,554.41