Finding the Third Proportional to 569.81 and 1,342.69

Step by Step Solution

1. Step 1: Write the proportion equation
   569.81 : 1,342.69 = 1,342.69 : x
2. Step 2: Convert to fraction form
   569.81/1,342.69 = 1,342.69/x
3. Step 3: Cross multiply
   569.81x = 1,342.69 × 1,342.69
4. Step 4: Simplify right side
   569.81x = 1,802,809.72
5. Step 5: Solve for x
   x = 1,802,809.72/569.81
6. Step 6: Final answer
   x = 3,163.86