Finding the Third Proportional to 1,566.42 and 3,361.92

Step by Step Solution

1. Step 1: Write the proportion equation
   1,566.42 : 3,361.92 = 3,361.92 : x
2. Step 2: Convert to fraction form
   1,566.42/3,361.92 = 3,361.92/x
3. Step 3: Cross multiply
   1,566.42x = 3,361.92 × 3,361.92
4. Step 4: Simplify right side
   1,566.42x = 11,302,518.69
5. Step 5: Solve for x
   x = 11,302,518.69/1,566.42
6. Step 6: Final answer
   x = 7,215.50