Finding the Third Proportional to 1,971.84 and 3,204.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,971.84 : 3,204.56 = 3,204.56 : x
2. Step 2: Convert to fraction form
   1,971.84/3,204.56 = 3,204.56/x
3. Step 3: Cross multiply
   1,971.84x = 3,204.56 × 3,204.56
4. Step 4: Simplify right side
   1,971.84x = 10,269,220.82
5. Step 5: Solve for x
   x = 10,269,220.82/1,971.84
6. Step 6: Final answer
   x = 5,207.93