Finding the Third Proportional to 2,189 and 4,562.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,189 : 4,562.50 = 4,562.50 : x
2. Step 2: Convert to fraction form
   2,189/4,562.50 = 4,562.50/x
3. Step 3: Cross multiply
   2,189x = 4,562.50 × 4,562.50
4. Step 4: Simplify right side
   2,189x = 20,816,406.25
5. Step 5: Solve for x
   x = 20,816,406.25/2,189
6. Step 6: Final answer
   x = 9,509.55