Finding the Third Proportional to 2,359.50 and 5,466.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,359.50 : 5,466.75 = 5,466.75 : x
2. Step 2: Convert to fraction form
   2,359.50/5,466.75 = 5,466.75/x
3. Step 3: Cross multiply
   2,359.50x = 5,466.75 × 5,466.75
4. Step 4: Simplify right side
   2,359.50x = 29,885,355.56
5. Step 5: Solve for x
   x = 29,885,355.56/2,359.50
6. Step 6: Final answer
   x = 12,665.97