Finding the Third Proportional to 2,506.69 and 5,446.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,506.69 : 5,446.31 = 5,446.31 : x
2. Step 2: Convert to fraction form
   2,506.69/5,446.31 = 5,446.31/x
3. Step 3: Cross multiply
   2,506.69x = 5,446.31 × 5,446.31
4. Step 4: Simplify right side
   2,506.69x = 29,662,319.85
5. Step 5: Solve for x
   x = 29,662,319.85/2,506.69
6. Step 6: Final answer
   x = 11,833.27