Finding the Third Proportional to 3,430.69 and 7,746.47

Step by Step Solution

1. Step 1: Write the proportion equation
   3,430.69 : 7,746.47 = 7,746.47 : x
2. Step 2: Convert to fraction form
   3,430.69/7,746.47 = 7,746.47/x
3. Step 3: Cross multiply
   3,430.69x = 7,746.47 × 7,746.47
4. Step 4: Simplify right side
   3,430.69x = 60,007,778.09
5. Step 5: Solve for x
   x = 60,007,778.09/3,430.69
6. Step 6: Final answer
   x = 17,491.47