Finding the Third Proportional to 1,463.06 and 3,184.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,463.06 : 3,184.31 = 3,184.31 : x
2. Step 2: Convert to fraction form
   1,463.06/3,184.31 = 3,184.31/x
3. Step 3: Cross multiply
   1,463.06x = 3,184.31 × 3,184.31
4. Step 4: Simplify right side
   1,463.06x = 10,139,846.10
5. Step 5: Solve for x
   x = 10,139,846.10/1,463.06
6. Step 6: Final answer
   x = 6,930.56