Finding the Third Proportional to 2,609.25 and 5,434.13

Step by Step Solution

1. Step 1: Write the proportion equation
   2,609.25 : 5,434.13 = 5,434.13 : x
2. Step 2: Convert to fraction form
   2,609.25/5,434.13 = 5,434.13/x
3. Step 3: Cross multiply
   2,609.25x = 5,434.13 × 5,434.13
4. Step 4: Simplify right side
   2,609.25x = 29,529,714.52
5. Step 5: Solve for x
   x = 29,529,714.52/2,609.25
6. Step 6: Final answer
   x = 11,317.32