Finding the Third Proportional to 1,461.75 and 3,166.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,461.75 : 3,166.38 = 3,166.38 : x
2. Step 2: Convert to fraction form
   1,461.75/3,166.38 = 3,166.38/x
3. Step 3: Cross multiply
   1,461.75x = 3,166.38 × 3,166.38
4. Step 4: Simplify right side
   1,461.75x = 10,025,930.64
5. Step 5: Solve for x
   x = 10,025,930.64/1,461.75
6. Step 6: Final answer
   x = 6,858.85