Finding the Third Proportional to 2,189 and 3,051.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,189 : 3,051.50 = 3,051.50 : x
2. Step 2: Convert to fraction form
   2,189/3,051.50 = 3,051.50/x
3. Step 3: Cross multiply
   2,189x = 3,051.50 × 3,051.50
4. Step 4: Simplify right side
   2,189x = 9,311,652.25
5. Step 5: Solve for x
   x = 9,311,652.25/2,189
6. Step 6: Final answer
   x = 4,253.84