Finding the Third Proportional to 1,566.84 and 3,241.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,566.84 : 3,241.27 = 3,241.27 : x
2. Step 2: Convert to fraction form
   1,566.84/3,241.27 = 3,241.27/x
3. Step 3: Cross multiply
   1,566.84x = 3,241.27 × 3,241.27
4. Step 4: Simplify right side
   1,566.84x = 10,505,802.85
5. Step 5: Solve for x
   x = 10,505,802.85/1,566.84
6. Step 6: Final answer
   x = 6,705.07