Finding the Third Proportional to 1,469.39 and 3,109.64

Step by Step Solution

1. Step 1: Write the proportion equation
   1,469.39 : 3,109.64 = 3,109.64 : x
2. Step 2: Convert to fraction form
   1,469.39/3,109.64 = 3,109.64/x
3. Step 3: Cross multiply
   1,469.39x = 3,109.64 × 3,109.64
4. Step 4: Simplify right side
   1,469.39x = 9,669,864.82
5. Step 5: Solve for x
   x = 9,669,864.82/1,469.39
6. Step 6: Final answer
   x = 6,580.87