Finding the Third Proportional to 2,770.50 and 5,865

Step by Step Solution

1. Step 1: Write the proportion equation
   2,770.50 : 5,865 = 5,865 : x
2. Step 2: Convert to fraction form
   2,770.50/5,865 = 5,865/x
3. Step 3: Cross multiply
   2,770.50x = 5,865 × 5,865
4. Step 4: Simplify right side
   2,770.50x = 34,398,225
5. Step 5: Solve for x
   x = 34,398,225/2,770.50
6. Step 6: Final answer
   x = 12,415.89