Finding the Third Proportional to 2,189 and 4,788

Step by Step Solution

1. Step 1: Write the proportion equation
   2,189 : 4,788 = 4,788 : x
2. Step 2: Convert to fraction form
   2,189/4,788 = 4,788/x
3. Step 3: Cross multiply
   2,189x = 4,788 × 4,788
4. Step 4: Simplify right side
   2,189x = 22,924,944
5. Step 5: Solve for x
   x = 22,924,944/2,189
6. Step 6: Final answer
   x = 10,472.79