Finding the Third Proportional to 7,743.09 and 17,027.72

Step by Step Solution

1. Step 1: Write the proportion equation
   7,743.09 : 17,027.72 = 17,027.72 : x
2. Step 2: Convert to fraction form
   7,743.09/17,027.72 = 17,027.72/x
3. Step 3: Cross multiply
   7,743.09x = 17,027.72 × 17,027.72
4. Step 4: Simplify right side
   7,743.09x = 289,943,205.83
5. Step 5: Solve for x
   x = 289,943,205.83/7,743.09
6. Step 6: Final answer
   x = 37,445.40