Finding the Third Proportional to 1,586.50 and 3,173

Step by Step Solution

1. Step 1: Write the proportion equation
   1,586.50 : 3,173 = 3,173 : x
2. Step 2: Convert to fraction form
   1,586.50/3,173 = 3,173/x
3. Step 3: Cross multiply
   1,586.50x = 3,173 × 3,173
4. Step 4: Simplify right side
   1,586.50x = 10,067,929
5. Step 5: Solve for x
   x = 10,067,929/1,586.50
6. Step 6: Final answer
   x = 6,346