Finding the Third Proportional to 1,802 and 3,172

Step by Step Solution

1. Step 1: Write the proportion equation
   1,802 : 3,172 = 3,172 : x
2. Step 2: Convert to fraction form
   1,802/3,172 = 3,172/x
3. Step 3: Cross multiply
   1,802x = 3,172 × 3,172
4. Step 4: Simplify right side
   1,802x = 10,061,584
5. Step 5: Solve for x
   x = 10,061,584/1,802
6. Step 6: Final answer
   x = 5,583.56