Finding the Third Proportional to 2,749.69 and 6,484.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,749.69 : 6,484.31 = 6,484.31 : x
2. Step 2: Convert to fraction form
   2,749.69/6,484.31 = 6,484.31/x
3. Step 3: Cross multiply
   2,749.69x = 6,484.31 × 6,484.31
4. Step 4: Simplify right side
   2,749.69x = 42,046,308.60
5. Step 5: Solve for x
   x = 42,046,308.60/2,749.69
6. Step 6: Final answer
   x = 15,291.30