Finding the Third Proportional to 569.38 and 870.69

Step by Step Solution

1. Step 1: Write the proportion equation
   569.38 : 870.69 = 870.69 : x
2. Step 2: Convert to fraction form
   569.38/870.69 = 870.69/x
3. Step 3: Cross multiply
   569.38x = 870.69 × 870.69
4. Step 4: Simplify right side
   569.38x = 758,096.72
5. Step 5: Solve for x
   x = 758,096.72/569.38
6. Step 6: Final answer
   x = 1,331.45