Finding the Third Proportional to 2,662 and 5,769

Step by Step Solution

1. Step 1: Write the proportion equation
   2,662 : 5,769 = 5,769 : x
2. Step 2: Convert to fraction form
   2,662/5,769 = 5,769/x
3. Step 3: Cross multiply
   2,662x = 5,769 × 5,769
4. Step 4: Simplify right side
   2,662x = 33,281,361
5. Step 5: Solve for x
   x = 33,281,361/2,662
6. Step 6: Final answer
   x = 12,502.39