Finding the Third Proportional to 2,446.50 and 5,291.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,446.50 : 5,291.75 = 5,291.75 : x
2. Step 2: Convert to fraction form
   2,446.50/5,291.75 = 5,291.75/x
3. Step 3: Cross multiply
   2,446.50x = 5,291.75 × 5,291.75
4. Step 4: Simplify right side
   2,446.50x = 28,002,618.06
5. Step 5: Solve for x
   x = 28,002,618.06/2,446.50
6. Step 6: Final answer
   x = 11,445.99