Finding the Third Proportional to 3,430.69 and 5,755.22

Step by Step Solution

1. Step 1: Write the proportion equation
   3,430.69 : 5,755.22 = 5,755.22 : x
2. Step 2: Convert to fraction form
   3,430.69/5,755.22 = 5,755.22/x
3. Step 3: Cross multiply
   3,430.69x = 5,755.22 × 5,755.22
4. Step 4: Simplify right side
   3,430.69x = 33,122,542.86
5. Step 5: Solve for x
   x = 33,122,542.86/3,430.69
6. Step 6: Final answer
   x = 9,654.78