Finding the Third Proportional to 2,300 and 3,202

Step by Step Solution

1. Step 1: Write the proportion equation
   2,300 : 3,202 = 3,202 : x
2. Step 2: Convert to fraction form
   2,300/3,202 = 3,202/x
3. Step 3: Cross multiply
   2,300x = 3,202 × 3,202
4. Step 4: Simplify right side
   2,300x = 10,252,804
5. Step 5: Solve for x
   x = 10,252,804/2,300
6. Step 6: Final answer
   x = 4,457.74