Finding the Third Proportional to 1,480.31 and 3,184.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,480.31 : 3,184.69 = 3,184.69 : x
2. Step 2: Convert to fraction form
   1,480.31/3,184.69 = 3,184.69/x
3. Step 3: Cross multiply
   1,480.31x = 3,184.69 × 3,184.69
4. Step 4: Simplify right side
   1,480.31x = 10,142,234.47
5. Step 5: Solve for x
   x = 10,142,234.47/1,480.31
6. Step 6: Final answer
   x = 6,851.41