Finding the Third Proportional to 5,761 and 12,605

Step by Step Solution

1. Step 1: Write the proportion equation
   5,761 : 12,605 = 12,605 : x
2. Step 2: Convert to fraction form
   5,761/12,605 = 12,605/x
3. Step 3: Cross multiply
   5,761x = 12,605 × 12,605
4. Step 4: Simplify right side
   5,761x = 158,886,025
5. Step 5: Solve for x
   x = 158,886,025/5,761
6. Step 6: Final answer
   x = 27,579.59