Finding the Third Proportional to 1,494.19 and 3,166.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,494.19 : 3,166.31 = 3,166.31 : x
2. Step 2: Convert to fraction form
   1,494.19/3,166.31 = 3,166.31/x
3. Step 3: Cross multiply
   1,494.19x = 3,166.31 × 3,166.31
4. Step 4: Simplify right side
   1,494.19x = 10,025,534.85
5. Step 5: Solve for x
   x = 10,025,534.85/1,494.19
6. Step 6: Final answer
   x = 6,709.69