Finding the Third Proportional to 2,746 and 5,352.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,746 : 5,352.50 = 5,352.50 : x
2. Step 2: Convert to fraction form
   2,746/5,352.50 = 5,352.50/x
3. Step 3: Cross multiply
   2,746x = 5,352.50 × 5,352.50
4. Step 4: Simplify right side
   2,746x = 28,649,256.25
5. Step 5: Solve for x
   x = 28,649,256.25/2,746
6. Step 6: Final answer
   x = 10,433.09