Finding the Third Proportional to 2,286 and 4,189.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,286 : 4,189.50 = 4,189.50 : x
2. Step 2: Convert to fraction form
   2,286/4,189.50 = 4,189.50/x
3. Step 3: Cross multiply
   2,286x = 4,189.50 × 4,189.50
4. Step 4: Simplify right side
   2,286x = 17,551,910.25
5. Step 5: Solve for x
   x = 17,551,910.25/2,286
6. Step 6: Final answer
   x = 7,678.00