Finding the Third Proportional to 2,626.50 and 5,685

Step by Step Solution

1. Step 1: Write the proportion equation
   2,626.50 : 5,685 = 5,685 : x
2. Step 2: Convert to fraction form
   2,626.50/5,685 = 5,685/x
3. Step 3: Cross multiply
   2,626.50x = 5,685 × 5,685
4. Step 4: Simplify right side
   2,626.50x = 32,319,225
5. Step 5: Solve for x
   x = 32,319,225/2,626.50
6. Step 6: Final answer
   x = 12,305.05