Finding the Third Proportional to 6,454.69 and 7,048.69

Step by Step Solution

1. Step 1: Write the proportion equation
   6,454.69 : 7,048.69 = 7,048.69 : x
2. Step 2: Convert to fraction form
   6,454.69/7,048.69 = 7,048.69/x
3. Step 3: Cross multiply
   6,454.69x = 7,048.69 × 7,048.69
4. Step 4: Simplify right side
   6,454.69x = 49,683,995.47
5. Step 5: Solve for x
   x = 49,683,995.47/6,454.69
6. Step 6: Final answer
   x = 7,697.35