Finding the Third Proportional to 575.86 and 967.57

Step by Step Solution

1. Step 1: Write the proportion equation
   575.86 : 967.57 = 967.57 : x
2. Step 2: Convert to fraction form
   575.86/967.57 = 967.57/x
3. Step 3: Cross multiply
   575.86x = 967.57 × 967.57
4. Step 4: Simplify right side
   575.86x = 936,192.31
5. Step 5: Solve for x
   x = 936,192.31/575.86
6. Step 6: Final answer
   x = 1,625.73