Finding the Third Proportional to 575.86 and 772.03

Step by Step Solution

1. Step 1: Write the proportion equation
   575.86 : 772.03 = 772.03 : x
2. Step 2: Convert to fraction form
   575.86/772.03 = 772.03/x
3. Step 3: Cross multiply
   575.86x = 772.03 × 772.03
4. Step 4: Simplify right side
   575.86x = 596,032.25
5. Step 5: Solve for x
   x = 596,032.25/575.86
6. Step 6: Final answer
   x = 1,035.03